We will explain and apply in R the Permutation-Based Cluster-Mass method proposed by Maris and Oostenveld, 2007 and developed in R by Frossard and Renaud, 2018, using EEG data. The Cluster-Mass is computed considering the time series of one channel (Temporal Cluster-Mass) and the time series of multiple channels (Spatial-Temporal Cluster-Mass). Finally the All-Resolution Inference from Rosenblatt et al. 2018 is applied in order to compute the lower bound for the true discovery proportion inside the clusters computed.

Packages

First of all, you need to install and load the following packages:

#devtools::install_github("angeella/ARIeeg")
#devtools::install_github("bnicenboim/eeguana")
#devtools::install_github("jaromilfrossard/permuco")
library(ARIeeg)
library(dplyr)
library(eeguana)
library(ggplot2)
library(tidyr)
library(purrr)
library(abind)
library(permuco4brain)
library(permuco)
library(hommel)
library(plotly)
library(tidyverse)

Data

The Dataset from the package ARIeeg is an ERP experiment composed by:

We have one observation for each subject and each stimulus. You can load it using:

load(system.file("extdata", "data_eeg_emotion.RData", package = "ARIeeg"))

We transform the data as eeg_lst class object from the package eeguana:

data = utilsTOlst(data=dati)
is_eeg_lst(data)
## [1] TRUE

and we drop off the final \(5\) channels:

chan_to_rm <- c("RM"  ,  "EOGvo" ,"EOGvu"
                , "EOGhl", "EOGhr")
data <- 
  data %>%
  select(-one_of(chan_to_rm))

Finally, we segment the data and select two conditions, i.e., disgust face and object:

data_seg <- data %>%
  eeg_segment(.description %in% c(3,5),
              lim = c(min(dati$timings$time), max(dati$timings$time))
  ) %>% eeg_baseline()  %>%
  mutate(
    condition =
      description
  ) %>%
  select(-c(type,description))

Some plot to understand the global mean difference between the two conditions:

A<-data_seg %>%
  select(Fp1,Fp2, F3, F4) %>%
  ggplot(aes(x = .time, y = .value)) +
  geom_line(aes(group = condition))  +
  stat_summary(
    fun = "mean", geom = "line", alpha = 1, size = 1.5,
    aes(color = condition),show.legend = TRUE
  ) +
  facet_wrap(~.key) +
  geom_vline(xintercept = 0, linetype = "dashed") +
  geom_vline(xintercept = .17, linetype = "dotted") +
  theme(legend.position = "bottom")+
  scale_color_manual(labels = c("Disgust", "Object"), values = c("#80bfff", "#ff8080"))
ggplotly(A)

Theory

Multiple testing problem?

The aim is to test if the difference of brain signal during the two conditions is different from \(0\) for each time points, i.e., \(500\). If the full set of channels is considered, we have also test for each channel, i.e., \(27\), returning a total number of tests equals \(500 \cdot 27\). Therefore, we have \(500\) or \(500 \cdot 27\) statistical tests to perform at group-level, so considering the random subject effect. The multiple testing problem is then obvious, and correction methods as Bonferroni or similar don’t capture the time(-spatial) correlation structure of the statistical tests, the cluster mass method, proposed by Maris and Oostenveld, 2007, is then used. It is based on permutation theory, and it gains some power respect to other procedure correcting at level of (spatial-)temporal cluster instead of at level of single tests. It is similar to the cluster mass in the fMRI framework, but in this case, the voxels, i.e., the single object of the analysis, are expressed in terms of time-points or in terms of combination time-points/channels. The method is then able to gain some power respect to some traditional conservative FWER correction method exploiting the (spatial-)temporal structure of the data.

Repeated Measures Anova Model

The cluster mass method is based on the Repeated Measures Anova, i.e.,

\[ y = 1_{N \times 1} \mu + \eta X^{\eta} + \pi X^{\pi} + \eta \pi X^{\eta \pi} + \epsilon \]

where \(1_{N \times 1}\) is a matrix with ones and

  1. \(\mu\) is the intercept;
  2. \(y \in \mathbb{R}^{N \times 1}\) is the response variables, i.e., the signal, in our case \(N = n_{subj} \times n_{stimuli} = 40\);
  3. \(X^{\eta} \in \mathbb{R}^{N \times n_{stimuli}}\) is the design matrix describing the fixed effect regarding the stimuli, and \(\eta \in \mathbb{R}^{n_{stimuli} \times 1}\) the corresponding parameter of interest;
  4. \(X^{\pi} \in \mathbb{R}^{N \times n_{subj}}\) is the design matrix describing the random effect regarding the subjects, and \(\pi \in \mathbb{R}^{n_{subj} \times 1}\) the corresponding parameter.
  5. \(X^{\eta \pi}\) is the design matrix describing the interaction effects between subjects and conditions;
  6. \(\epsilon \in \mathbb{R}^{N \times 1}\) is the error term with \(0\) mean and variance \(\sigma^2 I_N\).

Therefore, \(y \sim (1\mu + X^{\eta} \eta, \Sigma)\), \(\pi \sim (0, \sigma^2_{\pi} I_{nsubj})\) and \(\eta \pi \sim (0,\text{cov}(\eta \pi))\).

We want to make inference on \(\eta\), such that \(H_0: \eta = 0\) vs \(H_1: \eta \ne 0\). We do that using the F statistic, i.e.,

\[ F = \dfrac{y^\top H_{X^{\eta}} y / (n_{stimuli} - 1)}{ y^\top H_{X^{\eta \pi}}y/(n_{stimuli} -1)(n_{subj} -1)} \] where \(H_{X}\) is the projection matrix, i.e., \(H_{X} = X(X^\top X)^{-1} X^\top\). In order to compute this test, we use an alternative definition of \(F\) based on the residuals:

\[ F_r = \dfrac{r^\top H_{X^{\eta}} r / (n_{stimuli} - 1)}{ r^\top H_{X^{\eta \pi}}r/(n_{stimuli} -1)(n_{subj} -1)} \]

where \(r = (H_{X^{\eta}} + H_{X^{\eta\pi}})y\). For further details, see Kherad Pajouh and Renaud, 2014.

So, let the group of permutation, including the identity transformation, \(\mathcal{P}\), we use \(r^\star = P r\), where \(P \in \mathcal{P}\) to compute the null distribution of our test, i.e., \(\mathcal{R}\), and then the p-value, i.e.,

\[ \text{p-value} = \dfrac{1}{B} \sum_{F^\star_r \in \mathcal{R}} \mathbb{I}(|F^\star_r| \ge |F_r|) \]

if the two-tailed is considered, where \(F^\star_r = f(r^\star)\).

We have this model for each time point \(t \in \{1, \dots, 500\}\) and each channel, so finally we will have \(n_{\text{time-points}} \times n_{\text{channels}}\) statistical tests/p-values (raw).

Temporal Cluster mass

This method has been proposed by Maris and Oostenveld, 2007 and is commonly implemented in specialised software of EEG data analysis. It relies on a continuity argument that implies that an effect will appear into clusters of adjacent timeframes. Based on all time-specific statistics, we form these clusters using a threshold \(\tau\) as follows

Example of cluster mass EEG from Frossard, 2019

Example of cluster mass EEG from Frossard, 2019

All the adjacent time points for which the statistics are above this threshold define one cluster \(C_i\) for \(i \in \{1, \dots, n_C\}\), where \(n_C\) is the number of clusters found. We assign to each time point in the same cluster \(C_i\), the same cluster-mass statistic \(m_i = f(C_i)\) where \(f\) is a function that aggregates the statistics of the whole cluster into a scalar; typically the sum of the \(F\) statistics or the sum of squared of the \(t\) statistics. The cluster-mass null distribution \(\mathcal{M}\) is computed by repeating the process described above for each permutation. The contribution of a permutation to the cluster-mass null distribution is the maximum over all cluster-masses for this permutation. To test the significance of an observed cluster Ci, we compare its cluster-mass \(m_i = f(C_i)\) with the cluster-mass null distribution \(\mathcal{M}\). The p-value of the effect at each time within a cluster \(C_i\) is the p value associated with this cluster, i.e. 

\[ p_i = \dfrac{1}{n_P} \sum_{m_i^\star \in \mathcal{M}} 1\{m_i^\star \ge m_i\} \]

where \(m_i^\star\) is computed considering the permuted statistic. This method makes sense for EEG data analysis because if a difference of cerebral activity is believed to happen at a time \(s\) for a given factor, it is very likely that the time \(s + 1\) (or \(s - 1\)) will show this difference too.

Spatial-temporal Cluster mass

In this case, we will use the theory of graph, where the vertices represent the channels, and the edges represent the adjacency relationship. The adjacency must be defined using prior information, therefore the three-dimensional Euclidean distance between channels is used. Two channels are defined adjacent if their Euclidean distance is less than a threshold \(\delta\), where \(\delta\) is the smallest euclidean distance that produces a connected graph. This is due to the fact that a connected graph implies no disconnected sub-graph. Having sub-graphs implies that some tests cannot, by design, be in the same cluster, which is not a useful assumption for this analysis. (Frossard and Renaud, 2018; Frossard, 2019).

Then, having the spatial adjacency definition, we need to define the temporal one. We reproduce this graph \(n_{\text{time-points}}\) times, the edges between all pairs of two vertices (tests) are associated with the same electrode when they are temporally adjacent. The final graph has a total of vertices equals to the number of tests (\(n_{\text{channels}} \times n_{\text{time-points}}\)). The following figure represents the case of \(64\) channels and \(3\) temporal measures:

Example of graph of adjacency from Frossard, 2019

Example of graph of adjacency from Frossard, 2019

We then delete all the vertices in which statistics are below a threshold, e.g., the \(95\) percentile of the null distribution of the \(F\) statistics. So, we have a new graph composed of multiple connected components. Then, each connected component is interpreted as a spatial-temporal cluster. Finally, for each connected component, we compute the cluster-mass statistic using the sum (or sum of squares) of statistics of that particular connected component.

The cluster-mass null distribution is computed by permutations while maintaining spatial-temporal correlations among tests. Permutations must be performed without changing the position of electrodes nor mixing time-points. Concretely, after transforming the responses using the permutation method in Kherad Pajouh and Renaud, 2014, they are sorted in a three-dimensional array. It has the design (subjects \(\times\) stimuli) in the first dimension, time in the second one and electrodes in the third one. Then, only the first dimension is permuted to create a re-sampled response (or 3D array). Doing so, it does not reorder time-points, neither electrodes, therefore, the spatial-temporal correlations are maintained within each permuted sample.

Application

In R, all of this is possible thanks to the permuco and permuco4brain packages developed by Frossard and Renaud, 2018.

Temporal Cluster-Mass

So, we select one channel from our dataset, e.g. the Fp1:

Fp1 <- data_seg %>% select(Fp1)
  1. Construct the \(y\). We need to construct the three-dimensional signal matrix, having dimensions \(40 \times 500\):
signal_Fp1 <- Fp1%>%
    signal_tbl()%>%
    group_by(.id)%>%
    nest()%>%
    mutate(data = map(data,~as.matrix(.x[-1])))%>%
    pull(data)%>%
    invoke(abind,.,along = 2)%>%
    aperm(c(2,1))
dim(signal_Fp1)
## [1]  40 500
  1. Construct the \(X_{\eta \pi}\), having dimensions \(40 \times 2\):
design <- 
  segments_tbl(Fp1)%>%
  select(.subj, condition)
dim(design)
## [1] 40  2
  1. Define the repeated measures ANOVA formula:
f <- signal_Fp1 ~ condition + Error(.subj/(condition))

Thanks to the permuco package, we can apply the temporal cluster-Mass for the channel Fp1:

lm_Fp1 <- clusterlm(f,data = design)
print(lm_Fp1)
## Effect: condition.
## Alternative Hypothesis: two.sided.
## Statistic: fisher(1, 19).
## Resample Method: Rd_kheradPajouh_renaud.
## Number of Dependant Variables: 500.
## Type of Resample: .
## Number of Resamples: 5000.
## Multiple Comparisons Procedure: clustermass.
## Threshold: 4.38075.
## Mass Function: the sum.
## Table of clusters.
## 
##    start end cluster mass P(>mass)
## 1     40  40     5.834359   0.8990
## 2     46  48    15.621750   0.8066
## 3    136 139    20.628700   0.7444
## 4    142 144    18.238758   0.7758
## 5    153 154     9.661613   0.8782
## 6    161 246  2403.135136   0.0010
## 7    314 320    56.329115   0.3568
## 8    336 341    35.300331   0.5548
## 9    351 352     9.153198   0.8908
## 10   363 367    29.083554   0.6340
## 11   376 383    63.884839   0.3124
## 12   408 421    80.330852   0.2430

and the corresponding plot:

plot(lm_Fp1)

ARI in EEG cluster mass

However, our significant cluster says only that at least one test is different from \(0\), we don’t know how many tests/time-points are significant (spatial specificity paradox). So, we can apply ARI to understand the lower bound of the number of true discovery proportion. The cluster is composed by the time points from \(161\) to \(246\), i.e., the size of the cluster is equal to \(86\).

praw <- lm_Fp1$multiple_comparison$condition$uncorrected$main[,2]
cluster <- c(161:246)

discoveries(hommel(praw), ix = cluster)
## [1] 53

Therefore, we have at least \(62\%\) of true active time points in the cluster computed.

Spatial-Temporal Cluster-Mass

  1. Construct the \(y\). We need to construct the three-dimensional signal array, having dimensions \(40 \times 500 \times 27\):
signal <- 
    data_seg%>%
    signal_tbl()%>%
    group_by(.id)%>%
    nest()%>%
    mutate(data = map(data,~as.matrix(.x[-1])))%>%
    pull(data)%>%
    invoke(abind,.,along = 3)%>%
    aperm(c(3,1,2))

dim(signal)
## [1]  40 500  27
  1. Construct the \(X_{\eta \pi}\):
design <- 
  segments_tbl(data_seg)%>%
  select(.subj, condition)
dim(design)
## [1] 40  2
  1. Construct the graph, using \(\delta = 53mm\):
graph <- position_to_graph(channels_tbl(data_seg), name = .channel, delta = 53,
                             x = .x, y = .y, z = .z)
plot(graph)

  1. Define the repeated measures ANOVA formula:
f <- signal ~ condition + Error(.subj/(condition))

Finally, run the main function:

model <- permuco4brain::brainperm(formula = f,
                                  data = design,
                                  graph = graph,
                                  np = 5000,
                                  multcomp = "clustermass",
                                  return_distribution = TRUE)
## Computing Effect:
## 1 (condition) of 1. Start at 2020-05-20 23:55:43.

where np indicates the number of permutation.

Then, we can analyze the output:

print(model)
## Effect: condition.
## Alternative Hypothesis: two.sided.
## Statistic: fisher(1, 19).
## Resample Method: Rd_kheradPajouh_renaud.
## Number of Dependant Variables: 13500.
## Type of Resample: permutation.
## Number of Resamples: 5000.
## Multiple Comparisons Procedure: clustermass.
## Threshold: 4.38075.
## Mass Function: the sum.
## Table of clusters.
## 
##    Cluster id First sample Last sample N. chan. Main chan. Main chan. length
## 1           1            1           4        3         Fz                 4
## 2           2            2           6        2         O2                 5
## 3           3            3           6        1         F7                 4
## 4           4           10          10        1         F8                 1
## 5           5           18          19        1         Pz                 2
## 6           6           25          27        1         T7                 3
## 7           7           29          30        1         F8                 2
## 8           8           38          41        1         F3                 4
## 9           9           39          41        2         Pz                 3
## 10         10           40          40        1        Fp1                 1
## 11         11           40          44        1         T7                 5
## 12         12           45          49        1         F4                 5
## 13         13           46          48        1        Fp1                 3
## 14         14           47          49        1         P4                 3
## 15         15           48          49        1         C4                 2
## 16         16           51          52        1         T7                 2
## 17         17           61          68        3         P3                 8
## 18         18           70          75        3        PO8                 6
## 19         19           71          73        1        Fp2                 3
## 20         20           83          86        1         C4                 4
## 21         21           83          88        2         T7                 6
## 22         22           96         105        4     F3 (2)                 8
## 23         23          101         108        3     O2 (2)                 6
## 24         24          110         117        6     C3 (2)                 8
## 25         25          115         117        1         P8                 3
## 26         26          125         126        1         F7                 2
## 27         27          128         137        4         P8                 9
## 28         28          133         135        2         C3                 3
## 29         29          136         139        2        Fp1                 4
## 30         30          137         139        2        PO7                 3
## 31         31          142         144        1        Fp1                 3
## 32         32          146         500       27         P7               343
## 33         33          148         157        8     C4 (3)                 9
## 34         34          148         152        1         P7                 5
## 35         35          153         154        1        Fp1                 2
## 36         36          314         320        1        Fp1                 7
## 37         37          336         341        1        Fp1                 6
## 38         38          351         352        1        Fp1                 2
## 39         39          363         367        1        Fp1                 5
## 40         40          376         383        1        Fp1                 8
## 41         41          408         421        1        Fp1                14
##    N. test  Clustermass P(>mass)
## 1        8 4.824842e+01   0.9956
## 2        8 5.655352e+01   0.9928
## 3        4 2.161425e+01   0.9998
## 4        1 4.595571e+00   1.0000
## 5        2 9.160799e+00   1.0000
## 6        3 1.727826e+01   1.0000
## 7        2 9.953708e+00   1.0000
## 8        4 2.247954e+01   0.9998
## 9        4 1.841798e+01   0.9998
## 10       1 5.834359e+00   1.0000
## 11       5 3.514078e+01   0.9984
## 12       5 3.062193e+01   0.9992
## 13       3 1.562175e+01   1.0000
## 14       3 1.855438e+01   0.9998
## 15       2 1.046127e+01   1.0000
## 16       2 1.091898e+01   1.0000
## 17      13 9.673299e+01   0.9742
## 18      16 9.924648e+01   0.9730
## 19       3 1.701493e+01   1.0000
## 20       4 2.614448e+01   0.9992
## 21      10 7.604927e+01   0.9846
## 22      26 1.750308e+02   0.9306
## 23      17 1.039216e+02   0.9710
## 24      35 2.762222e+02   0.8670
## 25       3 1.367199e+01   1.0000
## 26       2 9.355923e+00   1.0000
## 27      27 1.703500e+02   0.9340
## 28       5 2.598810e+01   0.9992
## 29       6 3.007729e+01   0.9992
## 30       4 1.807287e+01   0.9998
## 31       3 1.823876e+01   0.9998
## 32    4788 1.041780e+05   0.0002
## 33      54 4.224551e+02   0.7798
## 34       5 3.646500e+01   0.9982
## 35       2 9.661613e+00   1.0000
## 36       7 5.632912e+01   0.9930
## 37       6 3.530033e+01   0.9984
## 38       2 9.153198e+00   1.0000
## 39       5 2.908355e+01   0.9992
## 40       8 6.388484e+01   0.9906
## 41      14 8.033085e+01   0.9834

We have only one significant cluster (32), with p-value equals to \(0.0002\). It is composed by \(27\) channels (the total set), with main channels P7. You can see in details the components of this cluster in

names(model$multiple_comparison$condition$clustermass$cluster$membership[which(as.vector(model$multiple_comparison$condition$clustermass$cluster$membership)==32)])
##    [1] "O2_146"  "O2_147"  "O2_148"  "O2_149"  "O2_150"  "O2_151"  "Pz_151" 
##    [8] "O2_152"  "Pz_152"  "O1_153"  "O2_153"  "Pz_153"  "O1_154"  "O2_154" 
##   [15] "Pz_154"  "O1_155"  "O2_155"  "Pz_155"  "O1_156"  "O2_156"  "Pz_156" 
##   [22] "O1_157"  "O2_157"  "Pz_157"  "P7_158"  "O1_158"  "Pz_158"  "P7_159" 
##   [29] "O1_159"  "Pz_159"  "F4_160"  "P7_160"  "PO7_160" "Pz_160"  "Fp1_161"
##   [36] "Fp2_161" "F4_161"  "C4_161"  "T7_161"  "CP2_161" "P7_161"  "PO7_161"
##   [43] "Pz_161"  "Fp1_162" "Fp2_162" "F4_162"  "F7_162"  "F8_162"  "FC2_162"
##   [50] "C4_162"  "T7_162"  "CP2_162" "P7_162"  "P8_162"  "PO7_162" "Cz_162" 
##   [57] "CPz_162" "Pz_162"  "Fp1_163" "Fp2_163" "F4_163"  "F8_163"  "FC2_163"
##   [64] "C4_163"  "T7_163"  "CP2_163" "P7_163"  "P8_163"  "PO7_163" "Fz_163" 
##   [71] "FCz_163" "Cz_163"  "CPz_163" "Pz_163"  "Fp1_164" "Fp2_164" "F4_164" 
##   [78] "F8_164"  "FC1_164" "FC2_164" "C4_164"  "T7_164"  "CP2_164" "P7_164" 
##   [85] "P8_164"  "PO7_164" "PO8_164" "Fz_164"  "FCz_164" "Cz_164"  "CPz_164"
##   [92] "Pz_164"  "Fp1_165" "Fp2_165" "F3_165"  "F4_165"  "F8_165"  "FC1_165"
##   [99] "FC2_165" "C4_165"  "T7_165"  "CP1_165" "CP2_165" "P7_165"  "P8_165" 
##  [106] "PO7_165" "PO8_165" "O1_165"  "O2_165"  "Fz_165"  "FCz_165" "Cz_165" 
##  [113] "CPz_165" "Pz_165"  "Fp1_166" "Fp2_166" "F3_166"  "F4_166"  "F8_166" 
##  [120] "FC1_166" "FC2_166" "C4_166"  "T7_166"  "CP1_166" "CP2_166" "P7_166" 
##  [127] "P8_166"  "PO7_166" "PO8_166" "O1_166"  "O2_166"  "Fz_166"  "FCz_166"
##  [134] "Cz_166"  "CPz_166" "Pz_166"  "Fp1_167" "Fp2_167" "F3_167"  "F4_167" 
##  [141] "F8_167"  "FC1_167" "FC2_167" "C3_167"  "C4_167"  "T7_167"  "CP1_167"
##  [148] "CP2_167" "P7_167"  "P8_167"  "PO7_167" "PO8_167" "O1_167"  "O2_167" 
##  [155] "Fz_167"  "FCz_167" "Cz_167"  "CPz_167" "Pz_167"  "Fp1_168" "Fp2_168"
##  [162] "F3_168"  "F4_168"  "F8_168"  "FC1_168" "FC2_168" "C3_168"  "C4_168" 
##  [169] "T7_168"  "CP1_168" "CP2_168" "P7_168"  "P8_168"  "PO7_168" "PO8_168"
##  [176] "O1_168"  "O2_168"  "Fz_168"  "FCz_168" "Cz_168"  "CPz_168" "Pz_168" 
##  [183] "Fp1_169" "Fp2_169" "F3_169"  "F4_169"  "F8_169"  "FC1_169" "FC2_169"
##  [190] "C3_169"  "C4_169"  "T7_169"  "CP1_169" "CP2_169" "P7_169"  "P8_169" 
##  [197] "PO7_169" "PO8_169" "O1_169"  "O2_169"  "Fz_169"  "FCz_169" "Cz_169" 
##  [204] "CPz_169" "Pz_169"  "Fp1_170" "Fp2_170" "F3_170"  "F4_170"  "F8_170" 
##  [211] "FC1_170" "FC2_170" "C3_170"  "C4_170"  "T7_170"  "CP1_170" "CP2_170"
##  [218] "P7_170"  "P8_170"  "PO7_170" "PO8_170" "O1_170"  "O2_170"  "Fz_170" 
##  [225] "FCz_170" "Cz_170"  "CPz_170" "Pz_170"  "Fp1_171" "Fp2_171" "F3_171" 
##  [232] "F4_171"  "F8_171"  "FC1_171" "FC2_171" "C3_171"  "C4_171"  "T7_171" 
##  [239] "CP1_171" "CP2_171" "P7_171"  "P8_171"  "PO7_171" "PO8_171" "O1_171" 
##  [246] "O2_171"  "Fz_171"  "FCz_171" "Cz_171"  "CPz_171" "Pz_171"  "Fp1_172"
##  [253] "Fp2_172" "F3_172"  "F4_172"  "F8_172"  "FC1_172" "FC2_172" "C3_172" 
##  [260] "C4_172"  "T7_172"  "T8_172"  "CP1_172" "CP2_172" "P7_172"  "P8_172" 
##  [267] "PO7_172" "PO8_172" "O1_172"  "O2_172"  "Fz_172"  "FCz_172" "Cz_172" 
##  [274] "CPz_172" "Pz_172"  "Fp1_173" "Fp2_173" "F3_173"  "F4_173"  "F8_173" 
##  [281] "FC1_173" "FC2_173" "C3_173"  "C4_173"  "T7_173"  "T8_173"  "CP1_173"
##  [288] "CP2_173" "P7_173"  "P8_173"  "PO7_173" "PO8_173" "O1_173"  "O2_173" 
##  [295] "Fz_173"  "FCz_173" "Cz_173"  "CPz_173" "Pz_173"  "Fp1_174" "Fp2_174"
##  [302] "F3_174"  "F4_174"  "F7_174"  "F8_174"  "FC1_174" "FC2_174" "C3_174" 
##  [309] "C4_174"  "T7_174"  "T8_174"  "CP1_174" "CP2_174" "P7_174"  "P8_174" 
##  [316] "PO7_174" "PO8_174" "O1_174"  "O2_174"  "Fz_174"  "FCz_174" "Cz_174" 
##  [323] "CPz_174" "Pz_174"  "Fp1_175" "Fp2_175" "F3_175"  "F4_175"  "F7_175" 
##  [330] "F8_175"  "FC1_175" "FC2_175" "C3_175"  "C4_175"  "T7_175"  "T8_175" 
##  [337] "CP1_175" "CP2_175" "P7_175"  "P8_175"  "PO7_175" "PO8_175" "O1_175" 
##  [344] "O2_175"  "Fz_175"  "FCz_175" "Cz_175"  "CPz_175" "Pz_175"  "Fp1_176"
##  [351] "Fp2_176" "F3_176"  "F4_176"  "F7_176"  "F8_176"  "FC1_176" "FC2_176"
##  [358] "C3_176"  "C4_176"  "T7_176"  "T8_176"  "CP1_176" "CP2_176" "P7_176" 
##  [365] "P8_176"  "PO7_176" "PO8_176" "O1_176"  "O2_176"  "Fz_176"  "FCz_176"
##  [372] "Cz_176"  "CPz_176" "Pz_176"  "Fp1_177" "Fp2_177" "F3_177"  "F4_177" 
##  [379] "F7_177"  "F8_177"  "FC1_177" "FC2_177" "C3_177"  "C4_177"  "T7_177" 
##  [386] "T8_177"  "CP1_177" "CP2_177" "P7_177"  "P8_177"  "PO7_177" "PO8_177"
##  [393] "O1_177"  "O2_177"  "Fz_177"  "FCz_177" "Cz_177"  "CPz_177" "Pz_177" 
##  [400] "Fp1_178" "Fp2_178" "F3_178"  "F4_178"  "F7_178"  "F8_178"  "FC1_178"
##  [407] "FC2_178" "C3_178"  "C4_178"  "T7_178"  "T8_178"  "CP1_178" "CP2_178"
##  [414] "P7_178"  "P8_178"  "PO7_178" "PO8_178" "O1_178"  "O2_178"  "Fz_178" 
##  [421] "FCz_178" "Cz_178"  "CPz_178" "Pz_178"  "Fp1_179" "Fp2_179" "F3_179" 
##  [428] "F4_179"  "F7_179"  "F8_179"  "FC1_179" "FC2_179" "C3_179"  "C4_179" 
##  [435] "T7_179"  "T8_179"  "CP1_179" "CP2_179" "P7_179"  "P8_179"  "PO7_179"
##  [442] "PO8_179" "O1_179"  "O2_179"  "Fz_179"  "FCz_179" "Cz_179"  "CPz_179"
##  [449] "Pz_179"  "Fp1_180" "Fp2_180" "F3_180"  "F4_180"  "F7_180"  "F8_180" 
##  [456] "FC1_180" "FC2_180" "C3_180"  "C4_180"  "T7_180"  "T8_180"  "CP1_180"
##  [463] "CP2_180" "P7_180"  "P8_180"  "PO7_180" "PO8_180" "O1_180"  "O2_180" 
##  [470] "Fz_180"  "FCz_180" "Cz_180"  "CPz_180" "Pz_180"  "Fp1_181" "Fp2_181"
##  [477] "F3_181"  "F4_181"  "F7_181"  "F8_181"  "FC1_181" "FC2_181" "C3_181" 
##  [484] "C4_181"  "T7_181"  "T8_181"  "CP1_181" "CP2_181" "P7_181"  "P8_181" 
##  [491] "PO7_181" "PO8_181" "O1_181"  "O2_181"  "Fz_181"  "FCz_181" "Cz_181" 
##  [498] "CPz_181" "Pz_181"  "Fp1_182" "Fp2_182" "F3_182"  "F4_182"  "F7_182" 
##  [505] "F8_182"  "FC1_182" "FC2_182" "C3_182"  "C4_182"  "T7_182"  "T8_182" 
##  [512] "CP1_182" "CP2_182" "P7_182"  "P8_182"  "PO7_182" "PO8_182" "O1_182" 
##  [519] "O2_182"  "Fz_182"  "FCz_182" "Cz_182"  "CPz_182" "Pz_182"  "Fp1_183"
##  [526] "Fp2_183" "F3_183"  "F4_183"  "F7_183"  "F8_183"  "FC1_183" "FC2_183"
##  [533] "C3_183"  "C4_183"  "T7_183"  "T8_183"  "CP1_183" "CP2_183" "P7_183" 
##  [540] "P8_183"  "P3_183"  "PO7_183" "PO8_183" "O1_183"  "O2_183"  "Fz_183" 
##  [547] "FCz_183" "Cz_183"  "CPz_183" "Pz_183"  "Fp1_184" "Fp2_184" "F3_184" 
##  [554] "F4_184"  "F7_184"  "F8_184"  "FC1_184" "FC2_184" "C3_184"  "C4_184" 
##  [561] "T7_184"  "T8_184"  "CP1_184" "CP2_184" "P7_184"  "P8_184"  "P3_184" 
##  [568] "PO7_184" "PO8_184" "O1_184"  "O2_184"  "Fz_184"  "FCz_184" "Cz_184" 
##  [575] "CPz_184" "Pz_184"  "Fp1_185" "Fp2_185" "F3_185"  "F4_185"  "F7_185" 
##  [582] "F8_185"  "FC1_185" "FC2_185" "C3_185"  "C4_185"  "T7_185"  "T8_185" 
##  [589] "CP1_185" "CP2_185" "P7_185"  "P8_185"  "P3_185"  "PO7_185" "PO8_185"
##  [596] "O1_185"  "O2_185"  "Fz_185"  "FCz_185" "Cz_185"  "CPz_185" "Pz_185" 
##  [603] "Fp1_186" "Fp2_186" "F3_186"  "F4_186"  "F7_186"  "F8_186"  "FC1_186"
##  [610] "FC2_186" "C3_186"  "C4_186"  "T7_186"  "T8_186"  "CP1_186" "CP2_186"
##  [617] "P7_186"  "P8_186"  "P3_186"  "PO7_186" "PO8_186" "O1_186"  "O2_186" 
##  [624] "Fz_186"  "FCz_186" "Cz_186"  "CPz_186" "Pz_186"  "Fp1_187" "Fp2_187"
##  [631] "F3_187"  "F4_187"  "F7_187"  "F8_187"  "FC1_187" "FC2_187" "C3_187" 
##  [638] "C4_187"  "T7_187"  "T8_187"  "CP1_187" "CP2_187" "P7_187"  "P8_187" 
##  [645] "P3_187"  "PO7_187" "PO8_187" "O1_187"  "O2_187"  "Fz_187"  "FCz_187"
##  [652] "Cz_187"  "CPz_187" "Pz_187"  "Fp1_188" "Fp2_188" "F3_188"  "F4_188" 
##  [659] "F7_188"  "F8_188"  "FC1_188" "FC2_188" "C3_188"  "C4_188"  "T7_188" 
##  [666] "T8_188"  "CP1_188" "CP2_188" "P7_188"  "P8_188"  "P3_188"  "PO7_188"
##  [673] "PO8_188" "O1_188"  "O2_188"  "Fz_188"  "FCz_188" "Cz_188"  "CPz_188"
##  [680] "Pz_188"  "Fp1_189" "Fp2_189" "F3_189"  "F4_189"  "F7_189"  "F8_189" 
##  [687] "FC1_189" "FC2_189" "C3_189"  "C4_189"  "T7_189"  "CP1_189" "CP2_189"
##  [694] "P7_189"  "P8_189"  "P3_189"  "PO7_189" "PO8_189" "O1_189"  "O2_189" 
##  [701] "Fz_189"  "FCz_189" "Cz_189"  "CPz_189" "Pz_189"  "Fp1_190" "Fp2_190"
##  [708] "F3_190"  "F4_190"  "F7_190"  "F8_190"  "FC1_190" "FC2_190" "C3_190" 
##  [715] "C4_190"  "CP1_190" "CP2_190" "P7_190"  "P8_190"  "P3_190"  "PO7_190"
##  [722] "PO8_190" "O1_190"  "O2_190"  "Fz_190"  "FCz_190" "Cz_190"  "CPz_190"
##  [729] "Pz_190"  "Fp1_191" "Fp2_191" "F3_191"  "F4_191"  "F7_191"  "F8_191" 
##  [736] "FC1_191" "FC2_191" "C3_191"  "C4_191"  "CP1_191" "CP2_191" "P7_191" 
##  [743] "P8_191"  "P3_191"  "PO7_191" "PO8_191" "O1_191"  "O2_191"  "Fz_191" 
##  [750] "FCz_191" "Cz_191"  "CPz_191" "Pz_191"  "Fp1_192" "Fp2_192" "F3_192" 
##  [757] "F4_192"  "F7_192"  "F8_192"  "FC1_192" "FC2_192" "C3_192"  "C4_192" 
##  [764] "CP1_192" "CP2_192" "P7_192"  "P8_192"  "P3_192"  "PO7_192" "PO8_192"
##  [771] "O1_192"  "O2_192"  "Fz_192"  "FCz_192" "Cz_192"  "CPz_192" "Pz_192" 
##  [778] "Fp1_193" "Fp2_193" "F3_193"  "F4_193"  "F7_193"  "F8_193"  "FC1_193"
##  [785] "FC2_193" "C3_193"  "C4_193"  "CP1_193" "CP2_193" "P7_193"  "P8_193" 
##  [792] "P3_193"  "PO7_193" "PO8_193" "O1_193"  "O2_193"  "Fz_193"  "FCz_193"
##  [799] "Cz_193"  "CPz_193" "Fp1_194" "Fp2_194" "F3_194"  "F4_194"  "F7_194" 
##  [806] "F8_194"  "FC1_194" "FC2_194" "C3_194"  "C4_194"  "CP1_194" "CP2_194"
##  [813] "P7_194"  "P8_194"  "P3_194"  "PO7_194" "PO8_194" "O1_194"  "O2_194" 
##  [820] "Fz_194"  "FCz_194" "Cz_194"  "CPz_194" "Fp1_195" "Fp2_195" "F3_195" 
##  [827] "F4_195"  "F7_195"  "F8_195"  "FC1_195" "FC2_195" "C4_195"  "CP2_195"
##  [834] "P7_195"  "P8_195"  "P3_195"  "PO7_195" "PO8_195" "O1_195"  "O2_195" 
##  [841] "Fz_195"  "FCz_195" "Cz_195"  "CPz_195" "Fp1_196" "Fp2_196" "F3_196" 
##  [848] "F4_196"  "F7_196"  "F8_196"  "FC1_196" "FC2_196" "C4_196"  "P7_196" 
##  [855] "P8_196"  "P3_196"  "PO7_196" "PO8_196" "O1_196"  "O2_196"  "Fz_196" 
##  [862] "FCz_196" "Cz_196"  "CPz_196" "Fp1_197" "Fp2_197" "F3_197"  "F4_197" 
##  [869] "F7_197"  "F8_197"  "FC1_197" "FC2_197" "C4_197"  "P7_197"  "P8_197" 
##  [876] "P3_197"  "PO7_197" "PO8_197" "O1_197"  "O2_197"  "Fz_197"  "FCz_197"
##  [883] "Cz_197"  "CPz_197" "Fp1_198" "Fp2_198" "F3_198"  "F4_198"  "F7_198" 
##  [890] "F8_198"  "FC1_198" "FC2_198" "C4_198"  "P7_198"  "P8_198"  "P3_198" 
##  [897] "PO7_198" "PO8_198" "O1_198"  "O2_198"  "Fz_198"  "FCz_198" "Cz_198" 
##  [904] "CPz_198" "Fp1_199" "Fp2_199" "F3_199"  "F4_199"  "F7_199"  "F8_199" 
##  [911] "FC1_199" "FC2_199" "C4_199"  "P7_199"  "P8_199"  "P3_199"  "PO7_199"
##  [918] "PO8_199" "O1_199"  "O2_199"  "Fz_199"  "FCz_199" "Cz_199"  "Fp1_200"
##  [925] "Fp2_200" "F3_200"  "F4_200"  "F7_200"  "F8_200"  "FC1_200" "FC2_200"
##  [932] "P7_200"  "P8_200"  "P3_200"  "PO7_200" "PO8_200" "O1_200"  "O2_200" 
##  [939] "Fz_200"  "FCz_200" "Cz_200"  "Fp1_201" "Fp2_201" "F3_201"  "F4_201" 
##  [946] "F7_201"  "F8_201"  "FC1_201" "FC2_201" "P7_201"  "P8_201"  "P3_201" 
##  [953] "PO7_201" "O1_201"  "Fz_201"  "FCz_201" "Cz_201"  "Fp1_202" "Fp2_202"
##  [960] "F3_202"  "F4_202"  "F7_202"  "F8_202"  "FC1_202" "FC2_202" "P7_202" 
##  [967] "P8_202"  "P3_202"  "PO7_202" "O1_202"  "Fz_202"  "FCz_202" "Cz_202" 
##  [974] "Fp1_203" "Fp2_203" "F3_203"  "F4_203"  "F7_203"  "F8_203"  "FC1_203"
##  [981] "FC2_203" "P7_203"  "P8_203"  "P3_203"  "PO7_203" "O1_203"  "Fz_203" 
##  [988] "FCz_203" "Cz_203"  "Fp1_204" "Fp2_204" "F3_204"  "F4_204"  "F7_204" 
##  [995] "F8_204"  "FC1_204" "FC2_204" "P7_204"  "P8_204"  "P3_204"  "PO7_204"
## [1002] "PO8_204" "O1_204"  "Fz_204"  "FCz_204" "Cz_204"  "Fp1_205" "Fp2_205"
## [1009] "F3_205"  "F4_205"  "F7_205"  "F8_205"  "FC1_205" "FC2_205" "P7_205" 
## [1016] "P8_205"  "P3_205"  "PO7_205" "PO8_205" "O1_205"  "O2_205"  "Fz_205" 
## [1023] "FCz_205" "Cz_205"  "Fp1_206" "Fp2_206" "F3_206"  "F4_206"  "F7_206" 
## [1030] "F8_206"  "FC1_206" "FC2_206" "P7_206"  "P8_206"  "P3_206"  "PO7_206"
## [1037] "PO8_206" "O1_206"  "O2_206"  "Fz_206"  "FCz_206" "Cz_206"  "Fp1_207"
## [1044] "Fp2_207" "F3_207"  "F4_207"  "F7_207"  "F8_207"  "FC1_207" "FC2_207"
## [1051] "P7_207"  "P8_207"  "P3_207"  "PO7_207" "PO8_207" "O1_207"  "O2_207" 
## [1058] "Fz_207"  "FCz_207" "Cz_207"  "Fp1_208" "Fp2_208" "F3_208"  "F4_208" 
## [1065] "F7_208"  "F8_208"  "FC1_208" "FC2_208" "C4_208"  "P7_208"  "P8_208" 
## [1072] "P3_208"  "PO7_208" "PO8_208" "O1_208"  "O2_208"  "Fz_208"  "FCz_208"
## [1079] "Cz_208"  "CPz_208" "Fp1_209" "Fp2_209" "F3_209"  "F4_209"  "F7_209" 
## [1086] "F8_209"  "FC1_209" "FC2_209" "C4_209"  "P7_209"  "P8_209"  "P3_209" 
## [1093] "PO7_209" "PO8_209" "O1_209"  "O2_209"  "Fz_209"  "FCz_209" "Cz_209" 
## [1100] "CPz_209" "Fp1_210" "Fp2_210" "F3_210"  "F4_210"  "F7_210"  "F8_210" 
## [1107] "FC1_210" "FC2_210" "C4_210"  "CP2_210" "P7_210"  "P8_210"  "P3_210" 
## [1114] "PO7_210" "PO8_210" "O1_210"  "O2_210"  "Fz_210"  "FCz_210" "Cz_210" 
## [1121] "CPz_210" "Fp1_211" "Fp2_211" "F3_211"  "F4_211"  "F7_211"  "F8_211" 
## [1128] "FC1_211" "FC2_211" "C4_211"  "CP2_211" "P7_211"  "P8_211"  "P3_211" 
## [1135] "PO7_211" "PO8_211" "O1_211"  "O2_211"  "Fz_211"  "FCz_211" "Cz_211" 
## [1142] "CPz_211" "Fp1_212" "Fp2_212" "F3_212"  "F4_212"  "F7_212"  "F8_212" 
## [1149] "FC1_212" "FC2_212" "C4_212"  "CP2_212" "P7_212"  "P8_212"  "P3_212" 
## [1156] "PO7_212" "PO8_212" "O1_212"  "O2_212"  "Fz_212"  "FCz_212" "Cz_212" 
## [1163] "CPz_212" "Fp1_213" "Fp2_213" "F3_213"  "F4_213"  "F7_213"  "F8_213" 
## [1170] "FC1_213" "FC2_213" "C4_213"  "T7_213"  "CP2_213" "P7_213"  "P8_213" 
## [1177] "P3_213"  "PO7_213" "PO8_213" "O1_213"  "O2_213"  "Fz_213"  "FCz_213"
## [1184] "Cz_213"  "CPz_213" "Fp1_214" "Fp2_214" "F3_214"  "F4_214"  "F7_214" 
## [1191] "F8_214"  "FC1_214" "FC2_214" "C4_214"  "T7_214"  "CP2_214" "P7_214" 
## [1198] "P8_214"  "P3_214"  "PO7_214" "PO8_214" "O1_214"  "O2_214"  "Fz_214" 
## [1205] "FCz_214" "Cz_214"  "CPz_214" "Fp1_215" "Fp2_215" "F3_215"  "F4_215" 
## [1212] "F7_215"  "F8_215"  "FC1_215" "FC2_215" "C4_215"  "T7_215"  "CP2_215"
## [1219] "P7_215"  "P8_215"  "P3_215"  "PO7_215" "PO8_215" "O1_215"  "O2_215" 
## [1226] "Fz_215"  "FCz_215" "Cz_215"  "CPz_215" "Fp1_216" "Fp2_216" "F3_216" 
## [1233] "F4_216"  "F7_216"  "F8_216"  "FC1_216" "FC2_216" "C4_216"  "T7_216" 
## [1240] "CP2_216" "P7_216"  "P8_216"  "P3_216"  "PO7_216" "PO8_216" "O1_216" 
## [1247] "O2_216"  "Fz_216"  "FCz_216" "Cz_216"  "CPz_216" "Fp1_217" "Fp2_217"
## [1254] "F3_217"  "F4_217"  "F7_217"  "F8_217"  "FC1_217" "FC2_217" "C4_217" 
## [1261] "T7_217"  "CP2_217" "P7_217"  "P8_217"  "P3_217"  "PO7_217" "PO8_217"
## [1268] "O1_217"  "O2_217"  "Fz_217"  "FCz_217" "Cz_217"  "CPz_217" "Fp1_218"
## [1275] "Fp2_218" "F3_218"  "F4_218"  "F7_218"  "F8_218"  "FC1_218" "FC2_218"
## [1282] "C4_218"  "CP2_218" "P7_218"  "P8_218"  "P3_218"  "PO7_218" "PO8_218"
## [1289] "O1_218"  "O2_218"  "Fz_218"  "FCz_218" "Cz_218"  "CPz_218" "Fp1_219"
## [1296] "Fp2_219" "F3_219"  "F4_219"  "F7_219"  "F8_219"  "FC1_219" "FC2_219"
## [1303] "C4_219"  "CP2_219" "P7_219"  "P8_219"  "P3_219"  "PO7_219" "PO8_219"
## [1310] "O1_219"  "O2_219"  "Fz_219"  "FCz_219" "Cz_219"  "CPz_219" "Fp1_220"
## [1317] "Fp2_220" "F3_220"  "F4_220"  "F7_220"  "F8_220"  "FC1_220" "FC2_220"
## [1324] "C4_220"  "CP1_220" "CP2_220" "P7_220"  "P8_220"  "P3_220"  "PO7_220"
## [1331] "PO8_220" "O1_220"  "O2_220"  "Fz_220"  "FCz_220" "Cz_220"  "CPz_220"
## [1338] "Fp1_221" "Fp2_221" "F3_221"  "F4_221"  "F7_221"  "F8_221"  "FC1_221"
## [1345] "FC2_221" "C3_221"  "C4_221"  "CP1_221" "CP2_221" "P7_221"  "P8_221" 
## [1352] "P3_221"  "PO7_221" "PO8_221" "O1_221"  "O2_221"  "Fz_221"  "FCz_221"
## [1359] "Cz_221"  "CPz_221" "Fp1_222" "Fp2_222" "F3_222"  "F4_222"  "F7_222" 
## [1366] "F8_222"  "FC1_222" "FC2_222" "C3_222"  "C4_222"  "CP1_222" "CP2_222"
## [1373] "P7_222"  "P8_222"  "P3_222"  "PO7_222" "PO8_222" "O1_222"  "O2_222" 
## [1380] "Fz_222"  "FCz_222" "Cz_222"  "CPz_222" "Fp1_223" "Fp2_223" "F3_223" 
## [1387] "F4_223"  "F7_223"  "F8_223"  "FC1_223" "FC2_223" "C3_223"  "C4_223" 
## [1394] "CP1_223" "CP2_223" "P7_223"  "P8_223"  "P3_223"  "PO7_223" "PO8_223"
## [1401] "O1_223"  "O2_223"  "Fz_223"  "FCz_223" "Cz_223"  "CPz_223" "Fp1_224"
## [1408] "Fp2_224" "F3_224"  "F4_224"  "F7_224"  "F8_224"  "FC1_224" "FC2_224"
## [1415] "C3_224"  "C4_224"  "CP1_224" "CP2_224" "P7_224"  "P8_224"  "P3_224" 
## [1422] "PO7_224" "PO8_224" "O1_224"  "O2_224"  "Fz_224"  "FCz_224" "Cz_224" 
## [1429] "CPz_224" "Pz_224"  "Fp1_225" "Fp2_225" "F3_225"  "F4_225"  "F7_225" 
## [1436] "F8_225"  "FC1_225" "FC2_225" "C3_225"  "C4_225"  "CP1_225" "CP2_225"
## [1443] "P7_225"  "P8_225"  "P3_225"  "PO7_225" "PO8_225" "O1_225"  "O2_225" 
## [1450] "Fz_225"  "FCz_225" "Cz_225"  "CPz_225" "Pz_225"  "Fp1_226" "Fp2_226"
## [1457] "F3_226"  "F4_226"  "F7_226"  "F8_226"  "FC1_226" "FC2_226" "C3_226" 
## [1464] "C4_226"  "CP1_226" "CP2_226" "P7_226"  "P8_226"  "P3_226"  "PO7_226"
## [1471] "PO8_226" "O1_226"  "O2_226"  "Fz_226"  "FCz_226" "Cz_226"  "CPz_226"
## [1478] "Pz_226"  "Fp1_227" "Fp2_227" "F3_227"  "F4_227"  "F7_227"  "F8_227" 
## [1485] "FC1_227" "FC2_227" "C3_227"  "C4_227"  "CP1_227" "CP2_227" "P7_227" 
## [1492] "P8_227"  "P3_227"  "PO7_227" "PO8_227" "O1_227"  "O2_227"  "Fz_227" 
## [1499] "FCz_227" "Cz_227"  "CPz_227" "Pz_227"  "Fp1_228" "F3_228"  "F4_228" 
## [1506] "F7_228"  "F8_228"  "FC1_228" "FC2_228" "C3_228"  "C4_228"  "CP1_228"
## [1513] "CP2_228" "P7_228"  "P8_228"  "P3_228"  "PO7_228" "PO8_228" "O1_228" 
## [1520] "O2_228"  "Fz_228"  "FCz_228" "Cz_228"  "CPz_228" "Pz_228"  "Fp1_229"
## [1527] "F3_229"  "F4_229"  "F7_229"  "F8_229"  "FC1_229" "FC2_229" "C3_229" 
## [1534] "C4_229"  "CP1_229" "CP2_229" "P7_229"  "P8_229"  "PO7_229" "PO8_229"
## [1541] "O1_229"  "O2_229"  "Fz_229"  "FCz_229" "Cz_229"  "CPz_229" "Pz_229" 
## [1548] "Fp1_230" "F3_230"  "F4_230"  "F7_230"  "F8_230"  "FC1_230" "FC2_230"
## [1555] "C3_230"  "C4_230"  "CP1_230" "CP2_230" "P7_230"  "P8_230"  "PO7_230"
## [1562] "PO8_230" "O1_230"  "O2_230"  "Fz_230"  "FCz_230" "Cz_230"  "CPz_230"
## [1569] "Pz_230"  "Fp1_231" "F3_231"  "F4_231"  "F7_231"  "F8_231"  "FC1_231"
## [1576] "FC2_231" "C3_231"  "C4_231"  "CP1_231" "CP2_231" "P7_231"  "P8_231" 
## [1583] "PO7_231" "PO8_231" "O1_231"  "O2_231"  "Fz_231"  "FCz_231" "Cz_231" 
## [1590] "CPz_231" "Pz_231"  "Fp1_232" "F3_232"  "F4_232"  "F7_232"  "F8_232" 
## [1597] "FC1_232" "FC2_232" "C3_232"  "C4_232"  "CP1_232" "CP2_232" "P7_232" 
## [1604] "P8_232"  "PO7_232" "PO8_232" "O1_232"  "O2_232"  "Fz_232"  "FCz_232"
## [1611] "Cz_232"  "CPz_232" "Pz_232"  "Fp1_233" "F3_233"  "F4_233"  "F7_233" 
## [1618] "F8_233"  "FC1_233" "FC2_233" "C3_233"  "C4_233"  "CP1_233" "CP2_233"
## [1625] "P7_233"  "P8_233"  "PO7_233" "PO8_233" "O1_233"  "O2_233"  "Fz_233" 
## [1632] "FCz_233" "Cz_233"  "CPz_233" "Pz_233"  "Fp1_234" "F3_234"  "F4_234" 
## [1639] "F7_234"  "F8_234"  "FC1_234" "FC2_234" "C3_234"  "C4_234"  "CP1_234"
## [1646] "CP2_234" "P7_234"  "P8_234"  "PO7_234" "PO8_234" "O1_234"  "O2_234" 
## [1653] "Fz_234"  "FCz_234" "Cz_234"  "CPz_234" "Pz_234"  "Fp1_235" "F3_235" 
## [1660] "F4_235"  "F7_235"  "F8_235"  "FC1_235" "FC2_235" "C3_235"  "C4_235" 
## [1667] "CP1_235" "CP2_235" "P7_235"  "P8_235"  "PO7_235" "PO8_235" "O1_235" 
## [1674] "O2_235"  "Fz_235"  "FCz_235" "Cz_235"  "CPz_235" "Pz_235"  "Fp1_236"
## [1681] "F3_236"  "F4_236"  "F7_236"  "F8_236"  "FC1_236" "FC2_236" "C3_236" 
## [1688] "C4_236"  "CP1_236" "CP2_236" "P7_236"  "P8_236"  "PO7_236" "PO8_236"
## [1695] "O1_236"  "O2_236"  "Fz_236"  "FCz_236" "Cz_236"  "CPz_236" "Pz_236" 
## [1702] "Fp1_237" "F3_237"  "F4_237"  "F7_237"  "F8_237"  "FC1_237" "FC2_237"
## [1709] "C3_237"  "C4_237"  "CP1_237" "CP2_237" "P7_237"  "P8_237"  "PO7_237"
## [1716] "PO8_237" "O1_237"  "O2_237"  "Fz_237"  "FCz_237" "Cz_237"  "CPz_237"
## [1723] "Pz_237"  "Fp1_238" "F3_238"  "F4_238"  "F7_238"  "F8_238"  "FC1_238"
## [1730] "FC2_238" "C3_238"  "C4_238"  "CP1_238" "CP2_238" "P7_238"  "P8_238" 
## [1737] "PO7_238" "PO8_238" "O1_238"  "O2_238"  "Fz_238"  "FCz_238" "Cz_238" 
## [1744] "CPz_238" "Pz_238"  "Fp1_239" "F3_239"  "F4_239"  "F7_239"  "F8_239" 
## [1751] "FC1_239" "FC2_239" "C3_239"  "C4_239"  "CP1_239" "CP2_239" "P7_239" 
## [1758] "P8_239"  "PO7_239" "PO8_239" "O1_239"  "O2_239"  "Fz_239"  "FCz_239"
## [1765] "Cz_239"  "CPz_239" "Pz_239"  "Fp1_240" "F3_240"  "F4_240"  "F7_240" 
## [1772] "F8_240"  "FC1_240" "FC2_240" "C3_240"  "C4_240"  "CP1_240" "CP2_240"
## [1779] "P7_240"  "P8_240"  "PO7_240" "PO8_240" "O1_240"  "O2_240"  "Fz_240" 
## [1786] "FCz_240" "Cz_240"  "CPz_240" "Pz_240"  "Fp1_241" "F3_241"  "F4_241" 
## [1793] "F7_241"  "F8_241"  "FC1_241" "FC2_241" "C3_241"  "C4_241"  "CP1_241"
## [1800] "CP2_241" "P7_241"  "P8_241"  "PO7_241" "PO8_241" "O1_241"  "O2_241" 
## [1807] "Fz_241"  "FCz_241" "Cz_241"  "CPz_241" "Pz_241"  "Fp1_242" "F3_242" 
## [1814] "F4_242"  "F7_242"  "F8_242"  "FC1_242" "FC2_242" "C3_242"  "C4_242" 
## [1821] "CP1_242" "CP2_242" "P7_242"  "P8_242"  "PO7_242" "PO8_242" "O1_242" 
## [1828] "O2_242"  "Fz_242"  "FCz_242" "Cz_242"  "CPz_242" "Pz_242"  "Fp1_243"
## [1835] "F3_243"  "F4_243"  "F7_243"  "F8_243"  "FC1_243" "FC2_243" "C3_243" 
## [1842] "C4_243"  "CP1_243" "CP2_243" "P7_243"  "P8_243"  "PO7_243" "PO8_243"
## [1849] "O1_243"  "O2_243"  "Fz_243"  "FCz_243" "Cz_243"  "CPz_243" "Pz_243" 
## [1856] "Fp1_244" "F3_244"  "F4_244"  "F7_244"  "F8_244"  "FC1_244" "FC2_244"
## [1863] "C3_244"  "C4_244"  "CP1_244" "CP2_244" "P7_244"  "P8_244"  "PO7_244"
## [1870] "PO8_244" "O1_244"  "O2_244"  "Fz_244"  "FCz_244" "Cz_244"  "CPz_244"
## [1877] "Pz_244"  "Fp1_245" "F3_245"  "F4_245"  "F7_245"  "F8_245"  "FC1_245"
## [1884] "FC2_245" "C3_245"  "C4_245"  "CP1_245" "CP2_245" "P7_245"  "P8_245" 
## [1891] "PO7_245" "PO8_245" "O1_245"  "O2_245"  "Fz_245"  "FCz_245" "Cz_245" 
## [1898] "CPz_245" "Pz_245"  "Fp1_246" "F3_246"  "F4_246"  "F7_246"  "F8_246" 
## [1905] "FC1_246" "FC2_246" "C3_246"  "C4_246"  "CP1_246" "CP2_246" "P7_246" 
## [1912] "P8_246"  "PO7_246" "PO8_246" "O1_246"  "O2_246"  "Fz_246"  "FCz_246"
## [1919] "Cz_246"  "CPz_246" "Pz_246"  "F3_247"  "F4_247"  "F7_247"  "FC1_247"
## [1926] "FC2_247" "C4_247"  "CP1_247" "CP2_247" "P7_247"  "P8_247"  "PO7_247"
## [1933] "PO8_247" "O1_247"  "O2_247"  "Fz_247"  "FCz_247" "Cz_247"  "CPz_247"
## [1940] "Pz_247"  "F3_248"  "F4_248"  "F7_248"  "FC1_248" "FC2_248" "C4_248" 
## [1947] "CP1_248" "CP2_248" "P7_248"  "P8_248"  "PO7_248" "PO8_248" "O1_248" 
## [1954] "O2_248"  "Fz_248"  "FCz_248" "Cz_248"  "CPz_248" "Pz_248"  "F3_249" 
## [1961] "F4_249"  "F7_249"  "FC1_249" "FC2_249" "C4_249"  "CP1_249" "CP2_249"
## [1968] "P7_249"  "P8_249"  "PO7_249" "PO8_249" "O1_249"  "O2_249"  "Fz_249" 
## [1975] "FCz_249" "Cz_249"  "CPz_249" "Pz_249"  "F3_250"  "F4_250"  "F7_250" 
## [1982] "FC1_250" "FC2_250" "CP1_250" "CP2_250" "P7_250"  "P8_250"  "PO7_250"
## [1989] "PO8_250" "O1_250"  "O2_250"  "Fz_250"  "FCz_250" "Cz_250"  "CPz_250"
## [1996] "Pz_250"  "F3_251"  "F4_251"  "F7_251"  "FC1_251" "FC2_251" "CP1_251"
## [2003] "CP2_251" "P7_251"  "P8_251"  "PO7_251" "PO8_251" "O1_251"  "O2_251" 
## [2010] "Fz_251"  "FCz_251" "Cz_251"  "CPz_251" "Pz_251"  "F3_252"  "F4_252" 
## [2017] "F7_252"  "FC1_252" "FC2_252" "CP1_252" "CP2_252" "P7_252"  "P8_252" 
## [2024] "PO7_252" "PO8_252" "O1_252"  "O2_252"  "Fz_252"  "FCz_252" "Cz_252" 
## [2031] "CPz_252" "Pz_252"  "F3_253"  "FC1_253" "FC2_253" "CP1_253" "CP2_253"
## [2038] "P7_253"  "P8_253"  "PO7_253" "PO8_253" "O2_253"  "Fz_253"  "FCz_253"
## [2045] "Cz_253"  "CPz_253" "Pz_253"  "F3_254"  "FC1_254" "FC2_254" "CP1_254"
## [2052] "CP2_254" "P7_254"  "P8_254"  "PO7_254" "PO8_254" "O2_254"  "Fz_254" 
## [2059] "FCz_254" "Cz_254"  "CPz_254" "Pz_254"  "F3_255"  "FC1_255" "FC2_255"
## [2066] "CP1_255" "CP2_255" "P7_255"  "P8_255"  "PO7_255" "PO8_255" "O2_255" 
## [2073] "Fz_255"  "FCz_255" "Cz_255"  "CPz_255" "Pz_255"  "FC1_256" "FC2_256"
## [2080] "CP1_256" "CP2_256" "P7_256"  "P8_256"  "PO7_256" "PO8_256" "O2_256" 
## [2087] "Fz_256"  "FCz_256" "Cz_256"  "CPz_256" "Pz_256"  "FC1_257" "FC2_257"
## [2094] "CP1_257" "CP2_257" "P7_257"  "P8_257"  "PO7_257" "PO8_257" "O2_257" 
## [2101] "Fz_257"  "FCz_257" "Cz_257"  "CPz_257" "Pz_257"  "FC1_258" "FC2_258"
## [2108] "CP1_258" "CP2_258" "P7_258"  "P8_258"  "PO7_258" "PO8_258" "O1_258" 
## [2115] "O2_258"  "Fz_258"  "FCz_258" "Cz_258"  "CPz_258" "Pz_258"  "FC1_259"
## [2122] "FC2_259" "CP1_259" "CP2_259" "P7_259"  "P8_259"  "PO7_259" "PO8_259"
## [2129] "O1_259"  "O2_259"  "Fz_259"  "FCz_259" "Cz_259"  "CPz_259" "Pz_259" 
## [2136] "FC1_260" "FC2_260" "CP1_260" "CP2_260" "P7_260"  "P8_260"  "PO7_260"
## [2143] "PO8_260" "O1_260"  "O2_260"  "Fz_260"  "FCz_260" "Cz_260"  "CPz_260"
## [2150] "Pz_260"  "FC1_261" "FC2_261" "CP1_261" "CP2_261" "P7_261"  "P8_261" 
## [2157] "PO7_261" "PO8_261" "O1_261"  "Fz_261"  "FCz_261" "Cz_261"  "CPz_261"
## [2164] "Pz_261"  "FC1_262" "FC2_262" "CP1_262" "CP2_262" "P7_262"  "P8_262" 
## [2171] "PO7_262" "PO8_262" "O1_262"  "Fz_262"  "FCz_262" "Cz_262"  "CPz_262"
## [2178] "Pz_262"  "FC1_263" "FC2_263" "CP1_263" "CP2_263" "P7_263"  "P8_263" 
## [2185] "PO7_263" "PO8_263" "Fz_263"  "FCz_263" "Cz_263"  "CPz_263" "Pz_263" 
## [2192] "FC1_264" "FC2_264" "CP1_264" "CP2_264" "P7_264"  "P8_264"  "PO7_264"
## [2199] "PO8_264" "Fz_264"  "FCz_264" "Cz_264"  "CPz_264" "Pz_264"  "FC1_265"
## [2206] "FC2_265" "CP1_265" "CP2_265" "P7_265"  "P8_265"  "PO7_265" "PO8_265"
## [2213] "Fz_265"  "FCz_265" "Cz_265"  "CPz_265" "Pz_265"  "FC2_266" "CP1_266"
## [2220] "CP2_266" "P7_266"  "P8_266"  "PO7_266" "PO8_266" "Fz_266"  "FCz_266"
## [2227] "Cz_266"  "CPz_266" "Pz_266"  "FC2_267" "CP1_267" "CP2_267" "P7_267" 
## [2234] "P8_267"  "PO7_267" "PO8_267" "Fz_267"  "FCz_267" "Cz_267"  "CPz_267"
## [2241] "Pz_267"  "FC2_268" "CP1_268" "CP2_268" "P7_268"  "P8_268"  "PO7_268"
## [2248] "PO8_268" "FCz_268" "Cz_268"  "CPz_268" "Pz_268"  "FC2_269" "CP1_269"
## [2255] "CP2_269" "P7_269"  "P8_269"  "PO7_269" "PO8_269" "FCz_269" "Cz_269" 
## [2262] "CPz_269" "Pz_269"  "FC2_270" "CP1_270" "CP2_270" "P7_270"  "P8_270" 
## [2269] "PO7_270" "PO8_270" "FCz_270" "Cz_270"  "CPz_270" "Pz_270"  "FC2_271"
## [2276] "CP1_271" "CP2_271" "P7_271"  "P8_271"  "PO7_271" "PO8_271" "FCz_271"
## [2283] "Cz_271"  "CPz_271" "Pz_271"  "FC2_272" "CP1_272" "CP2_272" "P7_272" 
## [2290] "P8_272"  "PO7_272" "PO8_272" "FCz_272" "Cz_272"  "CPz_272" "Pz_272" 
## [2297] "FC2_273" "CP1_273" "CP2_273" "P7_273"  "P8_273"  "PO7_273" "PO8_273"
## [2304] "FCz_273" "Cz_273"  "CPz_273" "Pz_273"  "FC2_274" "CP1_274" "CP2_274"
## [2311] "P7_274"  "P8_274"  "PO7_274" "PO8_274" "FCz_274" "Cz_274"  "CPz_274"
## [2318] "Pz_274"  "FC2_275" "CP1_275" "CP2_275" "P7_275"  "P8_275"  "PO7_275"
## [2325] "PO8_275" "FCz_275" "Cz_275"  "CPz_275" "Pz_275"  "FC2_276" "CP1_276"
## [2332] "CP2_276" "P7_276"  "P8_276"  "PO7_276" "PO8_276" "FCz_276" "Cz_276" 
## [2339] "CPz_276" "Pz_276"  "FC2_277" "CP1_277" "CP2_277" "P7_277"  "P8_277" 
## [2346] "PO7_277" "PO8_277" "FCz_277" "Cz_277"  "CPz_277" "Pz_277"  "FC2_278"
## [2353] "CP1_278" "CP2_278" "P7_278"  "P8_278"  "PO7_278" "PO8_278" "FCz_278"
## [2360] "Cz_278"  "CPz_278" "Pz_278"  "FC2_279" "CP1_279" "CP2_279" "P7_279" 
## [2367] "P8_279"  "PO7_279" "PO8_279" "FCz_279" "Cz_279"  "CPz_279" "Pz_279" 
## [2374] "CP1_280" "CP2_280" "P7_280"  "P8_280"  "PO7_280" "PO8_280" "FCz_280"
## [2381] "Cz_280"  "CPz_280" "Pz_280"  "CP1_281" "CP2_281" "P7_281"  "P8_281" 
## [2388] "PO7_281" "PO8_281" "FCz_281" "Cz_281"  "CPz_281" "Pz_281"  "CP1_282"
## [2395] "CP2_282" "P7_282"  "P8_282"  "PO7_282" "PO8_282" "FCz_282" "Cz_282" 
## [2402] "CPz_282" "Pz_282"  "CP1_283" "CP2_283" "P7_283"  "P8_283"  "PO7_283"
## [2409] "PO8_283" "FCz_283" "Cz_283"  "CPz_283" "Pz_283"  "CP1_284" "CP2_284"
## [2416] "P7_284"  "P8_284"  "PO7_284" "PO8_284" "FCz_284" "Cz_284"  "CPz_284"
## [2423] "Pz_284"  "CP1_285" "CP2_285" "P7_285"  "P8_285"  "PO7_285" "PO8_285"
## [2430] "FCz_285" "Cz_285"  "CPz_285" "Pz_285"  "CP1_286" "CP2_286" "P7_286" 
## [2437] "P8_286"  "PO7_286" "PO8_286" "FCz_286" "Cz_286"  "CPz_286" "Pz_286" 
## [2444] "CP1_287" "CP2_287" "P7_287"  "P8_287"  "PO7_287" "PO8_287" "FCz_287"
## [2451] "Cz_287"  "CPz_287" "Pz_287"  "CP1_288" "CP2_288" "P7_288"  "P8_288" 
## [2458] "PO7_288" "PO8_288" "FCz_288" "Cz_288"  "CPz_288" "Pz_288"  "CP1_289"
## [2465] "CP2_289" "P7_289"  "P8_289"  "PO7_289" "PO8_289" "FCz_289" "Cz_289" 
## [2472] "CPz_289" "Pz_289"  "FC2_290" "CP1_290" "CP2_290" "P7_290"  "P8_290" 
## [2479] "PO7_290" "PO8_290" "FCz_290" "Cz_290"  "CPz_290" "Pz_290"  "FC2_291"
## [2486] "CP1_291" "CP2_291" "P7_291"  "P8_291"  "PO7_291" "PO8_291" "FCz_291"
## [2493] "Cz_291"  "CPz_291" "Pz_291"  "FC2_292" "CP1_292" "CP2_292" "P7_292" 
## [2500] "P8_292"  "PO7_292" "PO8_292" "FCz_292" "Cz_292"  "CPz_292" "Pz_292" 
## [2507] "FC2_293" "CP1_293" "CP2_293" "P7_293"  "P8_293"  "PO7_293" "PO8_293"
## [2514] "Fz_293"  "FCz_293" "Cz_293"  "CPz_293" "Pz_293"  "FC2_294" "CP1_294"
## [2521] "CP2_294" "P7_294"  "P8_294"  "PO7_294" "PO8_294" "Fz_294"  "FCz_294"
## [2528] "Cz_294"  "CPz_294" "Pz_294"  "FC2_295" "CP1_295" "CP2_295" "P7_295" 
## [2535] "P8_295"  "PO7_295" "PO8_295" "Fz_295"  "FCz_295" "Cz_295"  "CPz_295"
## [2542] "Pz_295"  "FC2_296" "CP1_296" "CP2_296" "P7_296"  "P8_296"  "PO7_296"
## [2549] "PO8_296" "Fz_296"  "FCz_296" "Cz_296"  "CPz_296" "Pz_296"  "FC2_297"
## [2556] "CP1_297" "CP2_297" "P7_297"  "P8_297"  "PO7_297" "PO8_297" "Fz_297" 
## [2563] "FCz_297" "Cz_297"  "CPz_297" "Pz_297"  "FC2_298" "CP1_298" "CP2_298"
## [2570] "P7_298"  "P8_298"  "PO7_298" "PO8_298" "Fz_298"  "FCz_298" "Cz_298" 
## [2577] "CPz_298" "Pz_298"  "FC2_299" "CP1_299" "CP2_299" "P7_299"  "P8_299" 
## [2584] "PO7_299" "PO8_299" "O1_299"  "Fz_299"  "FCz_299" "Cz_299"  "CPz_299"
## [2591] "Pz_299"  "FC2_300" "CP1_300" "CP2_300" "P7_300"  "P8_300"  "PO7_300"
## [2598] "PO8_300" "O1_300"  "Fz_300"  "FCz_300" "Cz_300"  "CPz_300" "Pz_300" 
## [2605] "FC1_301" "FC2_301" "CP1_301" "CP2_301" "P7_301"  "P8_301"  "PO7_301"
## [2612] "PO8_301" "O1_301"  "Fz_301"  "FCz_301" "Cz_301"  "CPz_301" "Pz_301" 
## [2619] "FC1_302" "FC2_302" "CP1_302" "CP2_302" "P7_302"  "P8_302"  "PO7_302"
## [2626] "PO8_302" "O1_302"  "Fz_302"  "FCz_302" "Cz_302"  "CPz_302" "Pz_302" 
## [2633] "FC1_303" "FC2_303" "CP1_303" "CP2_303" "P7_303"  "P8_303"  "PO7_303"
## [2640] "PO8_303" "O1_303"  "Fz_303"  "FCz_303" "Cz_303"  "CPz_303" "Pz_303" 
## [2647] "FC1_304" "FC2_304" "CP1_304" "CP2_304" "P7_304"  "P8_304"  "PO7_304"
## [2654] "PO8_304" "O1_304"  "Fz_304"  "FCz_304" "Cz_304"  "CPz_304" "Pz_304" 
## [2661] "FC1_305" "FC2_305" "CP1_305" "CP2_305" "P7_305"  "P8_305"  "PO7_305"
## [2668] "PO8_305" "O1_305"  "Fz_305"  "FCz_305" "Cz_305"  "CPz_305" "Pz_305" 
## [2675] "FC1_306" "FC2_306" "CP1_306" "CP2_306" "P7_306"  "P8_306"  "PO7_306"
## [2682] "PO8_306" "O1_306"  "Fz_306"  "FCz_306" "Cz_306"  "CPz_306" "Pz_306" 
## [2689] "FC1_307" "FC2_307" "CP1_307" "CP2_307" "P7_307"  "P8_307"  "PO7_307"
## [2696] "PO8_307" "O1_307"  "Fz_307"  "FCz_307" "Cz_307"  "CPz_307" "Pz_307" 
## [2703] "FC2_308" "CP1_308" "CP2_308" "P7_308"  "P8_308"  "PO7_308" "PO8_308"
## [2710] "O1_308"  "Fz_308"  "FCz_308" "Cz_308"  "CPz_308" "Pz_308"  "FC2_309"
## [2717] "CP1_309" "CP2_309" "P7_309"  "P8_309"  "PO7_309" "PO8_309" "O1_309" 
## [2724] "Fz_309"  "FCz_309" "Cz_309"  "CPz_309" "Pz_309"  "FC2_310" "T7_310" 
## [2731] "CP1_310" "CP2_310" "P7_310"  "P8_310"  "PO7_310" "PO8_310" "O1_310" 
## [2738] "Fz_310"  "FCz_310" "Cz_310"  "CPz_310" "Pz_310"  "FC2_311" "T7_311" 
## [2745] "CP1_311" "CP2_311" "P7_311"  "P8_311"  "PO7_311" "PO8_311" "O1_311" 
## [2752] "Fz_311"  "FCz_311" "Cz_311"  "CPz_311" "Pz_311"  "FC1_312" "FC2_312"
## [2759] "T7_312"  "CP1_312" "CP2_312" "P7_312"  "P8_312"  "PO7_312" "PO8_312"
## [2766] "O1_312"  "Fz_312"  "FCz_312" "Cz_312"  "CPz_312" "Pz_312"  "F4_313" 
## [2773] "FC1_313" "FC2_313" "T7_313"  "CP1_313" "CP2_313" "P7_313"  "P8_313" 
## [2780] "PO7_313" "PO8_313" "O1_313"  "Fz_313"  "FCz_313" "Cz_313"  "CPz_313"
## [2787] "Pz_313"  "F4_314"  "FC1_314" "FC2_314" "T7_314"  "T8_314"  "CP1_314"
## [2794] "CP2_314" "P7_314"  "P8_314"  "PO7_314" "PO8_314" "O1_314"  "Fz_314" 
## [2801] "FCz_314" "Cz_314"  "CPz_314" "Pz_314"  "F4_315"  "FC1_315" "FC2_315"
## [2808] "T8_315"  "CP1_315" "CP2_315" "P7_315"  "P8_315"  "PO7_315" "PO8_315"
## [2815] "O1_315"  "Fz_315"  "FCz_315" "Cz_315"  "CPz_315" "Pz_315"  "F4_316" 
## [2822] "FC1_316" "FC2_316" "T8_316"  "CP1_316" "CP2_316" "P7_316"  "P8_316" 
## [2829] "PO7_316" "PO8_316" "O1_316"  "Fz_316"  "FCz_316" "Cz_316"  "CPz_316"
## [2836] "Pz_316"  "F4_317"  "FC1_317" "FC2_317" "T8_317"  "CP1_317" "CP2_317"
## [2843] "P7_317"  "P8_317"  "PO7_317" "PO8_317" "O1_317"  "Fz_317"  "FCz_317"
## [2850] "Cz_317"  "CPz_317" "Pz_317"  "FC1_318" "FC2_318" "T8_318"  "CP1_318"
## [2857] "CP2_318" "P7_318"  "P8_318"  "PO7_318" "PO8_318" "O1_318"  "Fz_318" 
## [2864] "FCz_318" "Cz_318"  "CPz_318" "Pz_318"  "FC1_319" "FC2_319" "T8_319" 
## [2871] "CP1_319" "CP2_319" "P7_319"  "P8_319"  "PO7_319" "PO8_319" "O1_319" 
## [2878] "Fz_319"  "FCz_319" "Cz_319"  "CPz_319" "Pz_319"  "FC2_320" "CP1_320"
## [2885] "CP2_320" "P7_320"  "P8_320"  "PO7_320" "PO8_320" "O1_320"  "Fz_320" 
## [2892] "FCz_320" "Cz_320"  "CPz_320" "Pz_320"  "CP1_321" "CP2_321" "P7_321" 
## [2899] "P8_321"  "PO7_321" "PO8_321" "Fz_321"  "FCz_321" "Cz_321"  "CPz_321"
## [2906] "Pz_321"  "CP1_322" "CP2_322" "P7_322"  "P8_322"  "PO7_322" "PO8_322"
## [2913] "Fz_322"  "FCz_322" "Cz_322"  "CPz_322" "Pz_322"  "CP1_323" "CP2_323"
## [2920] "P7_323"  "P8_323"  "PO7_323" "PO8_323" "Fz_323"  "FCz_323" "Cz_323" 
## [2927] "CPz_323" "Pz_323"  "CP1_324" "CP2_324" "P7_324"  "P8_324"  "PO7_324"
## [2934] "PO8_324" "Fz_324"  "FCz_324" "Cz_324"  "CPz_324" "Pz_324"  "CP1_325"
## [2941] "CP2_325" "P7_325"  "P8_325"  "PO7_325" "PO8_325" "Fz_325"  "FCz_325"
## [2948] "Cz_325"  "CPz_325" "Pz_325"  "CP1_326" "CP2_326" "P7_326"  "P8_326" 
## [2955] "PO7_326" "PO8_326" "Fz_326"  "FCz_326" "Cz_326"  "CPz_326" "Pz_326" 
## [2962] "CP1_327" "CP2_327" "P7_327"  "P8_327"  "PO7_327" "PO8_327" "Fz_327" 
## [2969] "FCz_327" "Cz_327"  "CPz_327" "Pz_327"  "T8_328"  "CP1_328" "CP2_328"
## [2976] "P7_328"  "P8_328"  "PO7_328" "PO8_328" "O1_328"  "Fz_328"  "FCz_328"
## [2983] "Cz_328"  "CPz_328" "Pz_328"  "T8_329"  "CP1_329" "CP2_329" "P7_329" 
## [2990] "P8_329"  "PO7_329" "PO8_329" "O1_329"  "Fz_329"  "FCz_329" "Cz_329" 
## [2997] "CPz_329" "Pz_329"  "CP1_330" "CP2_330" "P7_330"  "P8_330"  "PO7_330"
## [3004] "PO8_330" "O1_330"  "Fz_330"  "FCz_330" "Cz_330"  "CPz_330" "Pz_330" 
## [3011] "CP1_331" "CP2_331" "P7_331"  "P8_331"  "PO7_331" "PO8_331" "O1_331" 
## [3018] "O2_331"  "Fz_331"  "FCz_331" "Cz_331"  "CPz_331" "Pz_331"  "CP1_332"
## [3025] "CP2_332" "P7_332"  "P8_332"  "PO7_332" "PO8_332" "O1_332"  "O2_332" 
## [3032] "Fz_332"  "FCz_332" "Cz_332"  "CPz_332" "Pz_332"  "CP1_333" "CP2_333"
## [3039] "P7_333"  "P8_333"  "PO7_333" "PO8_333" "O1_333"  "O2_333"  "Fz_333" 
## [3046] "FCz_333" "Cz_333"  "CPz_333" "Pz_333"  "CP1_334" "CP2_334" "P7_334" 
## [3053] "P8_334"  "PO7_334" "PO8_334" "O1_334"  "O2_334"  "Fz_334"  "FCz_334"
## [3060] "Cz_334"  "CPz_334" "Pz_334"  "CP1_335" "CP2_335" "P7_335"  "P8_335" 
## [3067] "PO7_335" "PO8_335" "O1_335"  "O2_335"  "Fz_335"  "FCz_335" "Cz_335" 
## [3074] "CPz_335" "Pz_335"  "CP1_336" "CP2_336" "P7_336"  "P8_336"  "PO7_336"
## [3081] "PO8_336" "O1_336"  "O2_336"  "Fz_336"  "FCz_336" "Cz_336"  "CPz_336"
## [3088] "Pz_336"  "CP1_337" "CP2_337" "P7_337"  "P8_337"  "PO7_337" "PO8_337"
## [3095] "O1_337"  "Fz_337"  "FCz_337" "Cz_337"  "CPz_337" "Pz_337"  "CP1_338"
## [3102] "CP2_338" "P7_338"  "P8_338"  "PO7_338" "PO8_338" "O1_338"  "Fz_338" 
## [3109] "FCz_338" "Cz_338"  "CPz_338" "Pz_338"  "CP1_339" "CP2_339" "P7_339" 
## [3116] "P8_339"  "PO7_339" "PO8_339" "O1_339"  "Fz_339"  "FCz_339" "Cz_339" 
## [3123] "CPz_339" "Pz_339"  "CP1_340" "CP2_340" "P7_340"  "P8_340"  "PO7_340"
## [3130] "PO8_340" "O1_340"  "Fz_340"  "FCz_340" "Cz_340"  "CPz_340" "Pz_340" 
## [3137] "CP1_341" "CP2_341" "P7_341"  "P8_341"  "PO7_341" "PO8_341" "O1_341" 
## [3144] "FCz_341" "Cz_341"  "CPz_341" "Pz_341"  "CP1_342" "CP2_342" "P7_342" 
## [3151] "P8_342"  "PO7_342" "O1_342"  "FCz_342" "Cz_342"  "CPz_342" "Pz_342" 
## [3158] "CP1_343" "CP2_343" "P7_343"  "P8_343"  "PO7_343" "O1_343"  "Cz_343" 
## [3165] "CPz_343" "Pz_343"  "CP1_344" "CP2_344" "P7_344"  "P8_344"  "PO7_344"
## [3172] "O1_344"  "Cz_344"  "CPz_344" "Pz_344"  "CP1_345" "CP2_345" "P7_345" 
## [3179] "P8_345"  "PO7_345" "O1_345"  "Cz_345"  "CPz_345" "Pz_345"  "CP1_346"
## [3186] "CP2_346" "P7_346"  "P8_346"  "PO7_346" "O1_346"  "Cz_346"  "CPz_346"
## [3193] "Pz_346"  "CP1_347" "CP2_347" "P7_347"  "P8_347"  "PO7_347" "O1_347" 
## [3200] "Cz_347"  "CPz_347" "Pz_347"  "CP1_348" "CP2_348" "P7_348"  "P8_348" 
## [3207] "PO7_348" "O1_348"  "Cz_348"  "CPz_348" "Pz_348"  "CP1_349" "CP2_349"
## [3214] "P7_349"  "P8_349"  "PO7_349" "O1_349"  "Fz_349"  "FCz_349" "Cz_349" 
## [3221] "CPz_349" "Pz_349"  "CP1_350" "CP2_350" "P7_350"  "P8_350"  "PO7_350"
## [3228] "O1_350"  "Fz_350"  "FCz_350" "Cz_350"  "CPz_350" "Pz_350"  "CP1_351"
## [3235] "CP2_351" "P7_351"  "P8_351"  "PO7_351" "O1_351"  "Fz_351"  "FCz_351"
## [3242] "Cz_351"  "CPz_351" "Pz_351"  "CP1_352" "CP2_352" "P7_352"  "P8_352" 
## [3249] "PO7_352" "O1_352"  "Fz_352"  "FCz_352" "Cz_352"  "CPz_352" "Pz_352" 
## [3256] "CP1_353" "CP2_353" "P7_353"  "P8_353"  "PO7_353" "O1_353"  "Fz_353" 
## [3263] "FCz_353" "Cz_353"  "CPz_353" "Pz_353"  "CP1_354" "CP2_354" "P7_354" 
## [3270] "P8_354"  "PO7_354" "O1_354"  "Fz_354"  "FCz_354" "Cz_354"  "CPz_354"
## [3277] "Pz_354"  "T7_355"  "CP1_355" "CP2_355" "P7_355"  "P8_355"  "PO7_355"
## [3284] "O1_355"  "Fz_355"  "FCz_355" "Cz_355"  "CPz_355" "Pz_355"  "T7_356" 
## [3291] "CP1_356" "CP2_356" "P7_356"  "P8_356"  "PO7_356" "O1_356"  "Fz_356" 
## [3298] "FCz_356" "Cz_356"  "CPz_356" "Pz_356"  "T7_357"  "CP1_357" "CP2_357"
## [3305] "P7_357"  "P8_357"  "P4_357"  "PO7_357" "O1_357"  "Fz_357"  "FCz_357"
## [3312] "Cz_357"  "CPz_357" "Pz_357"  "CP1_358" "CP2_358" "P7_358"  "P8_358" 
## [3319] "P4_358"  "PO7_358" "O1_358"  "Fz_358"  "FCz_358" "Cz_358"  "CPz_358"
## [3326] "Pz_358"  "CP1_359" "CP2_359" "P7_359"  "P8_359"  "P4_359"  "PO7_359"
## [3333] "O1_359"  "Fz_359"  "FCz_359" "Cz_359"  "CPz_359" "Pz_359"  "CP1_360"
## [3340] "CP2_360" "P7_360"  "P8_360"  "P4_360"  "PO7_360" "O1_360"  "Fz_360" 
## [3347] "FCz_360" "Cz_360"  "CPz_360" "Pz_360"  "CP1_361" "CP2_361" "P7_361" 
## [3354] "P8_361"  "P4_361"  "PO7_361" "O1_361"  "Fz_361"  "FCz_361" "Cz_361" 
## [3361] "CPz_361" "Pz_361"  "CP2_362" "P7_362"  "P8_362"  "P4_362"  "PO7_362"
## [3368] "O1_362"  "Fz_362"  "FCz_362" "Cz_362"  "CPz_362" "Pz_362"  "CP2_363"
## [3375] "P7_363"  "P8_363"  "PO7_363" "O1_363"  "Fz_363"  "FCz_363" "Cz_363" 
## [3382] "CPz_363" "Pz_363"  "CP2_364" "P7_364"  "P8_364"  "PO7_364" "O1_364" 
## [3389] "Fz_364"  "FCz_364" "Cz_364"  "CPz_364" "Pz_364"  "CP2_365" "P7_365" 
## [3396] "P8_365"  "PO7_365" "O1_365"  "Fz_365"  "FCz_365" "Cz_365"  "CPz_365"
## [3403] "Pz_365"  "CP2_366" "P7_366"  "P8_366"  "PO7_366" "O1_366"  "Fz_366" 
## [3410] "FCz_366" "Cz_366"  "CPz_366" "Pz_366"  "FC1_367" "CP2_367" "P7_367" 
## [3417] "P8_367"  "PO7_367" "Fz_367"  "FCz_367" "Cz_367"  "CPz_367" "Pz_367" 
## [3424] "FC1_368" "CP2_368" "P7_368"  "P8_368"  "PO7_368" "Fz_368"  "FCz_368"
## [3431] "Cz_368"  "CPz_368" "Pz_368"  "FC1_369" "T7_369"  "CP1_369" "CP2_369"
## [3438] "P7_369"  "P8_369"  "PO7_369" "Fz_369"  "FCz_369" "Cz_369"  "CPz_369"
## [3445] "Pz_369"  "FC1_370" "T7_370"  "CP1_370" "CP2_370" "P7_370"  "P8_370" 
## [3452] "PO7_370" "Fz_370"  "FCz_370" "Cz_370"  "CPz_370" "Pz_370"  "FC1_371"
## [3459] "T7_371"  "CP1_371" "CP2_371" "P7_371"  "P8_371"  "PO7_371" "Fz_371" 
## [3466] "FCz_371" "Cz_371"  "CPz_371" "Pz_371"  "FC1_372" "T7_372"  "CP1_372"
## [3473] "CP2_372" "P7_372"  "P8_372"  "PO7_372" "Fz_372"  "FCz_372" "Cz_372" 
## [3480] "CPz_372" "Pz_372"  "FC1_373" "T7_373"  "CP1_373" "CP2_373" "P7_373" 
## [3487] "P8_373"  "PO7_373" "Fz_373"  "FCz_373" "Cz_373"  "CPz_373" "Pz_373" 
## [3494] "FC1_374" "T7_374"  "CP1_374" "CP2_374" "P7_374"  "P8_374"  "PO7_374"
## [3501] "Fz_374"  "FCz_374" "Cz_374"  "CPz_374" "Pz_374"  "FC1_375" "T7_375" 
## [3508] "CP1_375" "CP2_375" "P7_375"  "P8_375"  "PO7_375" "Fz_375"  "FCz_375"
## [3515] "Cz_375"  "CPz_375" "Pz_375"  "FC1_376" "T7_376"  "CP1_376" "CP2_376"
## [3522] "P7_376"  "P8_376"  "PO7_376" "Fz_376"  "FCz_376" "Cz_376"  "CPz_376"
## [3529] "Pz_376"  "FC1_377" "T7_377"  "CP1_377" "CP2_377" "P7_377"  "P8_377" 
## [3536] "PO7_377" "Fz_377"  "FCz_377" "Cz_377"  "CPz_377" "Pz_377"  "FC1_378"
## [3543] "CP1_378" "CP2_378" "P7_378"  "P8_378"  "PO7_378" "Fz_378"  "FCz_378"
## [3550] "Cz_378"  "CPz_378" "Pz_378"  "FC1_379" "CP1_379" "CP2_379" "P7_379" 
## [3557] "P8_379"  "PO7_379" "Fz_379"  "FCz_379" "Cz_379"  "CPz_379" "Pz_379" 
## [3564] "FC1_380" "CP1_380" "P7_380"  "P8_380"  "PO7_380" "Fz_380"  "FCz_380"
## [3571] "Cz_380"  "CPz_380" "Pz_380"  "FC1_381" "CP1_381" "P7_381"  "P8_381" 
## [3578] "PO7_381" "Fz_381"  "FCz_381" "Cz_381"  "CPz_381" "Pz_381"  "FC1_382"
## [3585] "CP1_382" "P7_382"  "P8_382"  "PO7_382" "Fz_382"  "FCz_382" "Cz_382" 
## [3592] "CPz_382" "Pz_382"  "FC1_383" "CP1_383" "P7_383"  "P8_383"  "PO7_383"
## [3599] "Fz_383"  "FCz_383" "Cz_383"  "CPz_383" "Pz_383"  "FC1_384" "CP1_384"
## [3606] "P7_384"  "P8_384"  "PO7_384" "Fz_384"  "FCz_384" "Cz_384"  "CPz_384"
## [3613] "Pz_384"  "FC1_385" "CP1_385" "CP2_385" "P7_385"  "P8_385"  "PO7_385"
## [3620] "Fz_385"  "FCz_385" "Cz_385"  "CPz_385" "Pz_385"  "FC1_386" "CP1_386"
## [3627] "CP2_386" "P7_386"  "P8_386"  "PO7_386" "Fz_386"  "FCz_386" "Cz_386" 
## [3634] "CPz_386" "Pz_386"  "FC1_387" "T7_387"  "CP1_387" "CP2_387" "P7_387" 
## [3641] "P8_387"  "PO7_387" "Fz_387"  "FCz_387" "Cz_387"  "CPz_387" "Pz_387" 
## [3648] "FC1_388" "T7_388"  "CP1_388" "CP2_388" "P7_388"  "P8_388"  "PO7_388"
## [3655] "Fz_388"  "FCz_388" "Cz_388"  "CPz_388" "Pz_388"  "FC1_389" "T7_389" 
## [3662] "CP1_389" "CP2_389" "P7_389"  "P8_389"  "P4_389"  "PO7_389" "Fz_389" 
## [3669] "FCz_389" "Cz_389"  "CPz_389" "Pz_389"  "FC1_390" "T7_390"  "CP1_390"
## [3676] "CP2_390" "P7_390"  "P8_390"  "P4_390"  "PO7_390" "Fz_390"  "FCz_390"
## [3683] "Cz_390"  "CPz_390" "Pz_390"  "FC1_391" "CP1_391" "CP2_391" "P7_391" 
## [3690] "P8_391"  "P4_391"  "PO7_391" "Fz_391"  "FCz_391" "Cz_391"  "CPz_391"
## [3697] "Pz_391"  "FC1_392" "CP1_392" "CP2_392" "P7_392"  "P8_392"  "P4_392" 
## [3704] "PO7_392" "Fz_392"  "FCz_392" "Cz_392"  "CPz_392" "Pz_392"  "FC1_393"
## [3711] "CP1_393" "CP2_393" "P7_393"  "P8_393"  "P4_393"  "PO7_393" "Fz_393" 
## [3718] "FCz_393" "Cz_393"  "CPz_393" "Pz_393"  "FC1_394" "CP1_394" "CP2_394"
## [3725] "P7_394"  "P8_394"  "P4_394"  "PO7_394" "Fz_394"  "FCz_394" "Cz_394" 
## [3732] "CPz_394" "Pz_394"  "FC1_395" "CP1_395" "CP2_395" "P7_395"  "P8_395" 
## [3739] "P4_395"  "PO7_395" "Fz_395"  "FCz_395" "Cz_395"  "CPz_395" "Pz_395" 
## [3746] "CP1_396" "CP2_396" "P7_396"  "P8_396"  "P4_396"  "PO7_396" "Fz_396" 
## [3753] "FCz_396" "Cz_396"  "CPz_396" "Pz_396"  "CP1_397" "CP2_397" "P7_397" 
## [3760] "P8_397"  "P4_397"  "PO7_397" "Fz_397"  "FCz_397" "Cz_397"  "CPz_397"
## [3767] "Pz_397"  "CP1_398" "CP2_398" "P7_398"  "P8_398"  "P4_398"  "PO7_398"
## [3774] "Fz_398"  "FCz_398" "Cz_398"  "CPz_398" "Pz_398"  "CP1_399" "CP2_399"
## [3781] "P7_399"  "P8_399"  "P4_399"  "PO7_399" "Fz_399"  "FCz_399" "Cz_399" 
## [3788] "CPz_399" "Pz_399"  "CP1_400" "CP2_400" "P7_400"  "P8_400"  "P4_400" 
## [3795] "PO7_400" "Cz_400"  "CPz_400" "Pz_400"  "CP1_401" "CP2_401" "P7_401" 
## [3802] "P8_401"  "P3_401"  "P4_401"  "PO7_401" "Cz_401"  "CPz_401" "Pz_401" 
## [3809] "CP1_402" "CP2_402" "P7_402"  "P8_402"  "P3_402"  "P4_402"  "PO7_402"
## [3816] "Cz_402"  "CPz_402" "Pz_402"  "CP1_403" "CP2_403" "P7_403"  "P8_403" 
## [3823] "P3_403"  "P4_403"  "PO7_403" "Fz_403"  "Cz_403"  "CPz_403" "Pz_403" 
## [3830] "CP1_404" "CP2_404" "P7_404"  "P8_404"  "P3_404"  "P4_404"  "PO7_404"
## [3837] "Fz_404"  "Cz_404"  "CPz_404" "Pz_404"  "T7_405"  "CP1_405" "CP2_405"
## [3844] "P7_405"  "P8_405"  "P3_405"  "P4_405"  "PO7_405" "Fz_405"  "FCz_405"
## [3851] "Cz_405"  "CPz_405" "Pz_405"  "FC1_406" "T7_406"  "CP1_406" "CP2_406"
## [3858] "P7_406"  "P8_406"  "P3_406"  "P4_406"  "PO7_406" "Fz_406"  "FCz_406"
## [3865] "Cz_406"  "CPz_406" "Pz_406"  "FC1_407" "T7_407"  "CP1_407" "CP2_407"
## [3872] "P7_407"  "P8_407"  "P3_407"  "P4_407"  "PO7_407" "Fz_407"  "FCz_407"
## [3879] "Cz_407"  "CPz_407" "Pz_407"  "FC1_408" "T7_408"  "CP1_408" "CP2_408"
## [3886] "P7_408"  "P8_408"  "P3_408"  "P4_408"  "PO7_408" "Fz_408"  "FCz_408"
## [3893] "Cz_408"  "CPz_408" "Pz_408"  "FC1_409" "T7_409"  "CP1_409" "CP2_409"
## [3900] "P7_409"  "P8_409"  "P3_409"  "P4_409"  "PO7_409" "Fz_409"  "FCz_409"
## [3907] "Cz_409"  "CPz_409" "Pz_409"  "FC1_410" "T7_410"  "CP1_410" "CP2_410"
## [3914] "P7_410"  "P8_410"  "P3_410"  "P4_410"  "PO7_410" "Fz_410"  "FCz_410"
## [3921] "Cz_410"  "CPz_410" "Pz_410"  "FC1_411" "T7_411"  "CP1_411" "CP2_411"
## [3928] "P7_411"  "P8_411"  "P3_411"  "P4_411"  "PO7_411" "Fz_411"  "FCz_411"
## [3935] "Cz_411"  "CPz_411" "Pz_411"  "FC1_412" "T7_412"  "CP1_412" "CP2_412"
## [3942] "P7_412"  "P8_412"  "P3_412"  "PO7_412" "Fz_412"  "FCz_412" "Cz_412" 
## [3949] "CPz_412" "Pz_412"  "FC1_413" "T7_413"  "CP1_413" "CP2_413" "P7_413" 
## [3956] "P8_413"  "P3_413"  "PO7_413" "Fz_413"  "FCz_413" "Cz_413"  "CPz_413"
## [3963] "Pz_413"  "FC1_414" "T7_414"  "CP1_414" "CP2_414" "P7_414"  "P8_414" 
## [3970] "P3_414"  "PO7_414" "Fz_414"  "FCz_414" "Cz_414"  "CPz_414" "Pz_414" 
## [3977] "FC1_415" "T7_415"  "CP1_415" "CP2_415" "P7_415"  "P8_415"  "P3_415" 
## [3984] "PO7_415" "Fz_415"  "FCz_415" "Cz_415"  "CPz_415" "Pz_415"  "FC1_416"
## [3991] "T7_416"  "T8_416"  "CP1_416" "CP2_416" "P7_416"  "P8_416"  "P3_416" 
## [3998] "PO7_416" "Fz_416"  "FCz_416" "Cz_416"  "CPz_416" "Pz_416"  "FC1_417"
## [4005] "T7_417"  "T8_417"  "CP1_417" "CP2_417" "P7_417"  "P8_417"  "P3_417" 
## [4012] "PO7_417" "Fz_417"  "FCz_417" "Cz_417"  "CPz_417" "Pz_417"  "FC1_418"
## [4019] "T7_418"  "T8_418"  "CP1_418" "CP2_418" "P7_418"  "P8_418"  "P3_418" 
## [4026] "PO7_418" "Fz_418"  "FCz_418" "Cz_418"  "CPz_418" "Pz_418"  "FC1_419"
## [4033] "T7_419"  "T8_419"  "CP1_419" "CP2_419" "P7_419"  "P8_419"  "P3_419" 
## [4040] "PO7_419" "Fz_419"  "Cz_419"  "CPz_419" "Pz_419"  "FC1_420" "T8_420" 
## [4047] "CP1_420" "CP2_420" "P7_420"  "P8_420"  "P3_420"  "Cz_420"  "CPz_420"
## [4054] "Pz_420"  "T8_421"  "CP1_421" "CP2_421" "P7_421"  "P8_421"  "P3_421" 
## [4061] "Cz_421"  "CPz_421" "Pz_421"  "T8_422"  "CP1_422" "CP2_422" "P7_422" 
## [4068] "P8_422"  "P3_422"  "Cz_422"  "CPz_422" "Pz_422"  "T8_423"  "CP1_423"
## [4075] "CP2_423" "P7_423"  "P8_423"  "P3_423"  "Cz_423"  "CPz_423" "Pz_423" 
## [4082] "T8_424"  "CP1_424" "CP2_424" "P7_424"  "P8_424"  "P3_424"  "Cz_424" 
## [4089] "CPz_424" "Pz_424"  "T8_425"  "CP1_425" "CP2_425" "P7_425"  "P8_425" 
## [4096] "P3_425"  "Cz_425"  "CPz_425" "Pz_425"  "T8_426"  "CP1_426" "CP2_426"
## [4103] "P7_426"  "P8_426"  "P3_426"  "Cz_426"  "CPz_426" "Pz_426"  "T8_427" 
## [4110] "CP1_427" "CP2_427" "P7_427"  "P8_427"  "P3_427"  "Cz_427"  "CPz_427"
## [4117] "Pz_427"  "T8_428"  "CP1_428" "CP2_428" "P7_428"  "P8_428"  "P3_428" 
## [4124] "Cz_428"  "CPz_428" "Pz_428"  "T8_429"  "CP1_429" "CP2_429" "P7_429" 
## [4131] "P8_429"  "P3_429"  "Cz_429"  "CPz_429" "Pz_429"  "CP1_430" "CP2_430"
## [4138] "P7_430"  "P8_430"  "P3_430"  "Cz_430"  "CPz_430" "Pz_430"  "T7_431" 
## [4145] "CP1_431" "CP2_431" "P7_431"  "P8_431"  "P3_431"  "Cz_431"  "CPz_431"
## [4152] "Pz_431"  "T7_432"  "CP1_432" "CP2_432" "P7_432"  "P8_432"  "P3_432" 
## [4159] "Cz_432"  "CPz_432" "Pz_432"  "T7_433"  "CP1_433" "CP2_433" "P7_433" 
## [4166] "P8_433"  "P3_433"  "Cz_433"  "CPz_433" "Pz_433"  "CP1_434" "CP2_434"
## [4173] "P7_434"  "P8_434"  "P3_434"  "Cz_434"  "CPz_434" "Pz_434"  "CP1_435"
## [4180] "CP2_435" "P7_435"  "P8_435"  "P3_435"  "Cz_435"  "CPz_435" "Pz_435" 
## [4187] "CP1_436" "CP2_436" "P7_436"  "P8_436"  "P3_436"  "Cz_436"  "CPz_436"
## [4194] "Pz_436"  "CP1_437" "CP2_437" "P7_437"  "P8_437"  "P3_437"  "Cz_437" 
## [4201] "CPz_437" "Pz_437"  "CP1_438" "CP2_438" "P7_438"  "P8_438"  "P3_438" 
## [4208] "Cz_438"  "CPz_438" "Pz_438"  "CP1_439" "CP2_439" "P7_439"  "P8_439" 
## [4215] "P3_439"  "Cz_439"  "CPz_439" "Pz_439"  "CP1_440" "CP2_440" "P7_440" 
## [4222] "P8_440"  "P3_440"  "P4_440"  "Cz_440"  "CPz_440" "Pz_440"  "T7_441" 
## [4229] "CP1_441" "CP2_441" "P7_441"  "P8_441"  "P3_441"  "P4_441"  "Cz_441" 
## [4236] "CPz_441" "Pz_441"  "T7_442"  "CP1_442" "CP2_442" "P7_442"  "P8_442" 
## [4243] "P3_442"  "P4_442"  "Cz_442"  "CPz_442" "Pz_442"  "T7_443"  "CP1_443"
## [4250] "CP2_443" "P7_443"  "P8_443"  "P3_443"  "P4_443"  "Cz_443"  "CPz_443"
## [4257] "Pz_443"  "T7_444"  "CP1_444" "CP2_444" "P7_444"  "P8_444"  "P3_444" 
## [4264] "P4_444"  "Cz_444"  "CPz_444" "Pz_444"  "T7_445"  "CP1_445" "CP2_445"
## [4271] "P7_445"  "P8_445"  "P3_445"  "P4_445"  "Cz_445"  "CPz_445" "Pz_445" 
## [4278] "T7_446"  "CP1_446" "CP2_446" "P7_446"  "P8_446"  "P3_446"  "P4_446" 
## [4285] "Cz_446"  "CPz_446" "Pz_446"  "T7_447"  "CP1_447" "CP2_447" "P7_447" 
## [4292] "P8_447"  "P3_447"  "P4_447"  "Cz_447"  "CPz_447" "Pz_447"  "T7_448" 
## [4299] "CP1_448" "CP2_448" "P7_448"  "P8_448"  "P3_448"  "P4_448"  "Cz_448" 
## [4306] "CPz_448" "Pz_448"  "T7_449"  "CP1_449" "CP2_449" "P7_449"  "P8_449" 
## [4313] "P3_449"  "P4_449"  "Cz_449"  "CPz_449" "Pz_449"  "CP1_450" "CP2_450"
## [4320] "P7_450"  "P8_450"  "P3_450"  "P4_450"  "Cz_450"  "CPz_450" "Pz_450" 
## [4327] "CP1_451" "CP2_451" "P7_451"  "P8_451"  "P3_451"  "P4_451"  "Cz_451" 
## [4334] "CPz_451" "Pz_451"  "CP1_452" "CP2_452" "P7_452"  "P8_452"  "P3_452" 
## [4341] "P4_452"  "Cz_452"  "CPz_452" "Pz_452"  "CP1_453" "CP2_453" "P7_453" 
## [4348] "P8_453"  "P3_453"  "P4_453"  "Cz_453"  "CPz_453" "Pz_453"  "CP1_454"
## [4355] "CP2_454" "P7_454"  "P8_454"  "P3_454"  "P4_454"  "Cz_454"  "CPz_454"
## [4362] "Pz_454"  "CP1_455" "CP2_455" "P7_455"  "P8_455"  "P3_455"  "P4_455" 
## [4369] "Cz_455"  "CPz_455" "Pz_455"  "T8_456"  "CP1_456" "CP2_456" "P7_456" 
## [4376] "P8_456"  "P3_456"  "P4_456"  "Cz_456"  "CPz_456" "Pz_456"  "T8_457" 
## [4383] "CP1_457" "CP2_457" "P7_457"  "P8_457"  "P3_457"  "P4_457"  "CPz_457"
## [4390] "Pz_457"  "T8_458"  "CP1_458" "CP2_458" "P7_458"  "P8_458"  "P3_458" 
## [4397] "P4_458"  "CPz_458" "Pz_458"  "T8_459"  "CP1_459" "CP2_459" "P7_459" 
## [4404] "P8_459"  "P3_459"  "P4_459"  "CPz_459" "Pz_459"  "T8_460"  "CP1_460"
## [4411] "CP2_460" "P7_460"  "P8_460"  "P3_460"  "P4_460"  "CPz_460" "Pz_460" 
## [4418] "CP1_461" "CP2_461" "P7_461"  "P8_461"  "P3_461"  "P4_461"  "CPz_461"
## [4425] "Pz_461"  "CP1_462" "CP2_462" "P7_462"  "P8_462"  "P3_462"  "P4_462" 
## [4432] "CPz_462" "Pz_462"  "CP1_463" "CP2_463" "P7_463"  "P8_463"  "P3_463" 
## [4439] "P4_463"  "Cz_463"  "CPz_463" "Pz_463"  "T7_464"  "CP1_464" "CP2_464"
## [4446] "P7_464"  "P8_464"  "P3_464"  "P4_464"  "Cz_464"  "CPz_464" "Pz_464" 
## [4453] "T7_465"  "CP1_465" "CP2_465" "P7_465"  "P8_465"  "P3_465"  "P4_465" 
## [4460] "Cz_465"  "CPz_465" "Pz_465"  "T7_466"  "CP1_466" "CP2_466" "P7_466" 
## [4467] "P8_466"  "P3_466"  "P4_466"  "Cz_466"  "CPz_466" "Pz_466"  "T7_467" 
## [4474] "T8_467"  "CP1_467" "CP2_467" "P7_467"  "P8_467"  "P3_467"  "P4_467" 
## [4481] "Cz_467"  "CPz_467" "Pz_467"  "T7_468"  "T8_468"  "CP1_468" "CP2_468"
## [4488] "P7_468"  "P8_468"  "P3_468"  "P4_468"  "Cz_468"  "CPz_468" "Pz_468" 
## [4495] "T8_469"  "CP1_469" "CP2_469" "P7_469"  "P8_469"  "P3_469"  "P4_469" 
## [4502] "Cz_469"  "CPz_469" "Pz_469"  "T8_470"  "CP1_470" "CP2_470" "P7_470" 
## [4509] "P8_470"  "P3_470"  "P4_470"  "Cz_470"  "CPz_470" "Pz_470"  "CP1_471"
## [4516] "CP2_471" "P7_471"  "P8_471"  "P3_471"  "P4_471"  "Cz_471"  "CPz_471"
## [4523] "Pz_471"  "CP1_472" "CP2_472" "P7_472"  "P8_472"  "P3_472"  "P4_472" 
## [4530] "Cz_472"  "CPz_472" "Pz_472"  "CP1_473" "CP2_473" "P7_473"  "P8_473" 
## [4537] "P3_473"  "P4_473"  "Cz_473"  "CPz_473" "Pz_473"  "CP1_474" "CP2_474"
## [4544] "P7_474"  "P8_474"  "P3_474"  "P4_474"  "Cz_474"  "CPz_474" "Pz_474" 
## [4551] "CP1_475" "CP2_475" "P7_475"  "P8_475"  "P3_475"  "P4_475"  "Cz_475" 
## [4558] "CPz_475" "Pz_475"  "CP1_476" "CP2_476" "P7_476"  "P8_476"  "P3_476" 
## [4565] "P4_476"  "Cz_476"  "CPz_476" "Pz_476"  "T8_477"  "CP1_477" "CP2_477"
## [4572] "P7_477"  "P8_477"  "P3_477"  "P4_477"  "Cz_477"  "CPz_477" "Pz_477" 
## [4579] "T8_478"  "CP1_478" "CP2_478" "P7_478"  "P8_478"  "P3_478"  "P4_478" 
## [4586] "Cz_478"  "CPz_478" "Pz_478"  "T7_479"  "T8_479"  "CP1_479" "CP2_479"
## [4593] "P7_479"  "P8_479"  "P3_479"  "P4_479"  "Cz_479"  "CPz_479" "Pz_479" 
## [4600] "T7_480"  "T8_480"  "CP1_480" "CP2_480" "P7_480"  "P8_480"  "P3_480" 
## [4607] "P4_480"  "Cz_480"  "CPz_480" "Pz_480"  "T7_481"  "T8_481"  "CP1_481"
## [4614] "CP2_481" "P7_481"  "P8_481"  "P3_481"  "P4_481"  "Cz_481"  "CPz_481"
## [4621] "Pz_481"  "T7_482"  "T8_482"  "CP1_482" "CP2_482" "P7_482"  "P8_482" 
## [4628] "P3_482"  "P4_482"  "Cz_482"  "CPz_482" "Pz_482"  "T7_483"  "T8_483" 
## [4635] "CP1_483" "CP2_483" "P7_483"  "P8_483"  "P3_483"  "P4_483"  "CPz_483"
## [4642] "Pz_483"  "T7_484"  "T8_484"  "CP1_484" "CP2_484" "P7_484"  "P8_484" 
## [4649] "P3_484"  "P4_484"  "CPz_484" "Pz_484"  "T7_485"  "CP1_485" "CP2_485"
## [4656] "P7_485"  "P8_485"  "P3_485"  "P4_485"  "CPz_485" "Pz_485"  "T7_486" 
## [4663] "CP1_486" "CP2_486" "P7_486"  "P8_486"  "P3_486"  "P4_486"  "CPz_486"
## [4670] "Pz_486"  "T7_487"  "CP1_487" "CP2_487" "P7_487"  "P8_487"  "P3_487" 
## [4677] "P4_487"  "CPz_487" "Pz_487"  "T7_488"  "CP1_488" "CP2_488" "P7_488" 
## [4684] "P8_488"  "P3_488"  "P4_488"  "CPz_488" "Pz_488"  "T7_489"  "CP1_489"
## [4691] "CP2_489" "P7_489"  "P8_489"  "P3_489"  "P4_489"  "CPz_489" "Pz_489" 
## [4698] "T7_490"  "CP1_490" "CP2_490" "P7_490"  "P8_490"  "P3_490"  "P4_490" 
## [4705] "CPz_490" "Pz_490"  "T7_491"  "CP1_491" "CP2_491" "P7_491"  "P8_491" 
## [4712] "P3_491"  "P4_491"  "CPz_491" "Pz_491"  "CP1_492" "CP2_492" "P7_492" 
## [4719] "P8_492"  "P3_492"  "P4_492"  "CPz_492" "Pz_492"  "CP1_493" "CP2_493"
## [4726] "P7_493"  "P8_493"  "P3_493"  "P4_493"  "CPz_493" "Pz_493"  "CP1_494"
## [4733] "CP2_494" "P7_494"  "P8_494"  "P3_494"  "P4_494"  "CPz_494" "Pz_494" 
## [4740] "CP1_495" "CP2_495" "P7_495"  "P8_495"  "P3_495"  "P4_495"  "CPz_495"
## [4747] "Pz_495"  "CP1_496" "CP2_496" "P7_496"  "P8_496"  "P3_496"  "P4_496" 
## [4754] "CPz_496" "Pz_496"  "CP1_497" "CP2_497" "P7_497"  "P8_497"  "P3_497" 
## [4761] "P4_497"  "CPz_497" "Pz_497"  "CP1_498" "CP2_498" "P7_498"  "P8_498" 
## [4768] "P3_498"  "P4_498"  "CPz_498" "Pz_498"  "CP1_499" "CP2_499" "P7_499" 
## [4775] "P8_499"  "P3_499"  "P4_499"  "CPz_499" "Pz_499"  "T7_500"  "CP1_500"
## [4782] "CP2_500" "P7_500"  "P8_500"  "P3_500"  "P4_500"  "CPz_500" "Pz_500"

You can see the significant cluster (in red) at fixed time points (e.g. 160) using plot:

plot(model, samples = 160)

and the significant cluster over time and over channels using:

image(model)

where the significant clusters are represented in a colour-scale and the non-significant one in grey. The white pixels are tests which statistic are below the threshold.

ARI in EEG cluster mass

However, our significant cluster (11) says only that at least one combination channels/time-points is different from \(0\), we don’t know how many combinations are significant (spatial specificity paradox). So, we can apply ARI to understand the lower bound of the number of true discovery proportion:

ARIeeg(model = model)
##       ID Total  clustermass pvalue False Null True Null Active Proportion
##  [1,]  1     8 4.824842e+01 0.9956          0         8         0.0000000
##  [2,]  2     8 5.655352e+01 0.9928          0         8         0.0000000
##  [3,]  3     4 2.161425e+01 0.9998          0         4         0.0000000
##  [4,]  4     1 4.595571e+00 1.0000          0         1         0.0000000
##  [5,]  5     2 9.160799e+00 1.0000          0         2         0.0000000
##  [6,]  6     3 1.727826e+01 1.0000          0         3         0.0000000
##  [7,]  7     2 9.953708e+00 1.0000          0         2         0.0000000
##  [8,]  8     4 2.247954e+01 0.9998          0         4         0.0000000
##  [9,]  9     4 1.841798e+01 0.9998          0         4         0.0000000
## [10,] 10     1 5.834359e+00 1.0000          0         1         0.0000000
## [11,] 11     5 3.514078e+01 0.9984          0         5         0.0000000
## [12,] 12     5 3.062193e+01 0.9992          0         5         0.0000000
## [13,] 13     3 1.562175e+01 1.0000          0         3         0.0000000
## [14,] 14     3 1.855438e+01 0.9998          0         3         0.0000000
## [15,] 15     2 1.046127e+01 1.0000          0         2         0.0000000
## [16,] 16     2 1.091898e+01 1.0000          0         2         0.0000000
## [17,] 17    13 9.673299e+01 0.9742          0        13         0.0000000
## [18,] 18    16 9.924648e+01 0.9730          0        16         0.0000000
## [19,] 19     3 1.701493e+01 1.0000          0         3         0.0000000
## [20,] 20     4 2.614448e+01 0.9992          0         4         0.0000000
## [21,] 21    10 7.604927e+01 0.9846          0        10         0.0000000
## [22,] 22    26 1.750308e+02 0.9306          0        26         0.0000000
## [23,] 23    17 1.039216e+02 0.9710          0        17         0.0000000
## [24,] 24    35 2.762222e+02 0.8670          0        35         0.0000000
## [25,] 25     3 1.367199e+01 1.0000          0         3         0.0000000
## [26,] 26     2 9.355923e+00 1.0000          0         2         0.0000000
## [27,] 27    27 1.703500e+02 0.9340          0        27         0.0000000
## [28,] 28     5 2.598810e+01 0.9992          0         5         0.0000000
## [29,] 29     6 3.007729e+01 0.9992          0         6         0.0000000
## [30,] 30     4 1.807287e+01 0.9998          0         4         0.0000000
## [31,] 31     3 1.823876e+01 0.9998          0         3         0.0000000
## [32,] 32  4788 1.041780e+05 0.0002        759      4029         0.1585213
## [33,] 33    54 4.224551e+02 0.7798          0        54         0.0000000
## [34,] 34     5 3.646500e+01 0.9982          0         5         0.0000000
## [35,] 35     2 9.661613e+00 1.0000          0         2         0.0000000
## [36,] 36     7 5.632912e+01 0.9930          0         7         0.0000000
## [37,] 37     6 3.530033e+01 0.9984          0         6         0.0000000
## [38,] 38     2 9.153198e+00 1.0000          0         2         0.0000000
## [39,] 39     5 2.908355e+01 0.9992          0         5         0.0000000
## [40,] 40     8 6.388484e+01 0.9906          0         8         0.0000000
## [41,] 41    14 8.033085e+01 0.9834          0        14         0.0000000

So, we have at least \(15\%\) truly active component in the cluster \(32\).

References